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Finding the Fourth Proportional to 25,521.69, 38,200.62 and 13,645.78

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Solution

The fourth proportional to 25,521.69, 38,200.62 and 13,645.78 is: 20,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521.69 : 38,200.62 = 13,645.78 : x
  2. Step 2: Convert to fraction form
    25,521.69/38,200.62 = 13,645.78/x
  3. Step 3: Cross multiply
    25,521.69x = 38,200.62 × 13,645.78
  4. Step 4: Simplify right side
    25,521.69x = 521,277,256.38
  5. Step 5: Solve for x
    x = 521,277,256.38/25,521.69
  6. Step 6: Final answer
    x = 20,424.87

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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.