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Finding the Fourth Proportional to 16,041.60, 24,031.80 and 8,643.60

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Solution

The fourth proportional to 16,041.60, 24,031.80 and 8,643.60 is: 12,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.60 : 24,031.80 = 8,643.60 : x
  2. Step 2: Convert to fraction form
    16,041.60/24,031.80 = 8,643.60/x
  3. Step 3: Cross multiply
    16,041.60x = 24,031.80 × 8,643.60
  4. Step 4: Simplify right side
    16,041.60x = 207,721,266.48
  5. Step 5: Solve for x
    x = 207,721,266.48/16,041.60
  6. Step 6: Final answer
    x = 12,948.91

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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.