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Finding the Fourth Proportional to 24,088.32, 36,137.03 and 9,298.71

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Solution

The fourth proportional to 24,088.32, 36,137.03 and 9,298.71 is: 13,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,088.32 : 36,137.03 = 9,298.71 : x
  2. Step 2: Convert to fraction form
    24,088.32/36,137.03 = 9,298.71/x
  3. Step 3: Cross multiply
    24,088.32x = 36,137.03 × 9,298.71
  4. Step 4: Simplify right side
    24,088.32x = 336,027,715.74
  5. Step 5: Solve for x
    x = 336,027,715.74/24,088.32
  6. Step 6: Final answer
    x = 13,949.82

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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.