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Finding the Fourth Proportional to 25,490.34, 38,237.94 and 9,909.18

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Solution

The fourth proportional to 25,490.34, 38,237.94 and 9,909.18 is: 14,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.34 : 38,237.94 = 9,909.18 : x
  2. Step 2: Convert to fraction form
    25,490.34/38,237.94 = 9,909.18/x
  3. Step 3: Cross multiply
    25,490.34x = 38,237.94 × 9,909.18
  4. Step 4: Simplify right side
    25,490.34x = 378,906,630.29
  5. Step 5: Solve for x
    x = 378,906,630.29/25,490.34
  6. Step 6: Final answer
    x = 14,864.71

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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.