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Finding the Fourth Proportional to 25,737.81, 38,615.01 and 8,207.79

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Solution

The fourth proportional to 25,737.81, 38,615.01 and 8,207.79 is: 12,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.81 : 38,615.01 = 8,207.79 : x
  2. Step 2: Convert to fraction form
    25,737.81/38,615.01 = 8,207.79/x
  3. Step 3: Cross multiply
    25,737.81x = 38,615.01 × 8,207.79
  4. Step 4: Simplify right side
    25,737.81x = 316,943,892.93
  5. Step 5: Solve for x
    x = 316,943,892.93/25,737.81
  6. Step 6: Final answer
    x = 12,314.33

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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.