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Finding the Fourth Proportional to 24,815.40, 37,215.11 and 8,171.48

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Solution

The fourth proportional to 24,815.40, 37,215.11 and 8,171.48 is: 12,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.40 : 37,215.11 = 8,171.48 : x
  2. Step 2: Convert to fraction form
    24,815.40/37,215.11 = 8,171.48/x
  3. Step 3: Cross multiply
    24,815.40x = 37,215.11 × 8,171.48
  4. Step 4: Simplify right side
    24,815.40x = 304,102,300.13
  5. Step 5: Solve for x
    x = 304,102,300.13/24,815.40
  6. Step 6: Final answer
    x = 12,254.58

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1.5x scale

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.