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Finding the Fourth Proportional to 10,658,509.40, 15,987,764.10 and 8,957,898.20

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Solution

The fourth proportional to 10,658,509.40, 15,987,764.10 and 8,957,898.20 is: 13,436,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658,509.40 : 15,987,764.10 = 8,957,898.20 : x
  2. Step 2: Convert to fraction form
    10,658,509.40/15,987,764.10 = 8,957,898.20/x
  3. Step 3: Cross multiply
    10,658,509.40x = 15,987,764.10 × 8,957,898.20
  4. Step 4: Simplify right side
    10,658,509.40x = 143,216,763,253,414.59
  5. Step 5: Solve for x
    x = 143,216,763,253,414.59/10,658,509.40
  6. Step 6: Final answer
    x = 13,436,847.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.