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Finding the Fourth Proportional to 25,501.59, 38,257.25 and 9,918

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Solution

The fourth proportional to 25,501.59, 38,257.25 and 9,918 is: 14,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,501.59 : 38,257.25 = 9,918 : x
  2. Step 2: Convert to fraction form
    25,501.59/38,257.25 = 9,918/x
  3. Step 3: Cross multiply
    25,501.59x = 38,257.25 × 9,918
  4. Step 4: Simplify right side
    25,501.59x = 379,435,355.91
  5. Step 5: Solve for x
    x = 379,435,355.91/25,501.59
  6. Step 6: Final answer
    x = 14,878.89

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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.