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Finding the Fourth Proportional to 25,663.46, 38,507.96 and 14,411.82

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Solution

The fourth proportional to 25,663.46, 38,507.96 and 14,411.82 is: 21,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.46 : 38,507.96 = 14,411.82 : x
  2. Step 2: Convert to fraction form
    25,663.46/38,507.96 = 14,411.82/x
  3. Step 3: Cross multiply
    25,663.46x = 38,507.96 × 14,411.82
  4. Step 4: Simplify right side
    25,663.46x = 554,969,788.09
  5. Step 5: Solve for x
    x = 554,969,788.09/25,663.46
  6. Step 6: Final answer
    x = 21,624.90

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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.