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Finding the Fourth Proportional to 25,508.98, 38,263.86 and 9,714.89

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Solution

The fourth proportional to 25,508.98, 38,263.86 and 9,714.89 is: 14,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.98 : 38,263.86 = 9,714.89 : x
  2. Step 2: Convert to fraction form
    25,508.98/38,263.86 = 9,714.89/x
  3. Step 3: Cross multiply
    25,508.98x = 38,263.86 × 9,714.89
  4. Step 4: Simplify right side
    25,508.98x = 371,728,963.13
  5. Step 5: Solve for x
    x = 371,728,963.13/25,508.98
  6. Step 6: Final answer
    x = 14,572.47

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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.