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Finding the Fourth Proportional to 24,421.71, 36,609.18 and 7,772.57

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Solution

The fourth proportional to 24,421.71, 36,609.18 and 7,772.57 is: 11,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.71 : 36,609.18 = 7,772.57 : x
  2. Step 2: Convert to fraction form
    24,421.71/36,609.18 = 7,772.57/x
  3. Step 3: Cross multiply
    24,421.71x = 36,609.18 × 7,772.57
  4. Step 4: Simplify right side
    24,421.71x = 284,547,414.19
  5. Step 5: Solve for x
    x = 284,547,414.19/24,421.71
  6. Step 6: Final answer
    x = 11,651.41

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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.