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Finding the Fourth Proportional to 24,284.40, 36,397.36 and 10,239

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Solution

The fourth proportional to 24,284.40, 36,397.36 and 10,239 is: 15,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.40 : 36,397.36 = 10,239 : x
  2. Step 2: Convert to fraction form
    24,284.40/36,397.36 = 10,239/x
  3. Step 3: Cross multiply
    24,284.40x = 36,397.36 × 10,239
  4. Step 4: Simplify right side
    24,284.40x = 372,672,569.04
  5. Step 5: Solve for x
    x = 372,672,569.04/24,284.40
  6. Step 6: Final answer
    x = 15,346.17

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