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Finding the Fourth Proportional to 25,897.80, 38,763.14 and 13,400.62

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Solution

The fourth proportional to 25,897.80, 38,763.14 and 13,400.62 is: 20,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.80 : 38,763.14 = 13,400.62 : x
  2. Step 2: Convert to fraction form
    25,897.80/38,763.14 = 13,400.62/x
  3. Step 3: Cross multiply
    25,897.80x = 38,763.14 × 13,400.62
  4. Step 4: Simplify right side
    25,897.80x = 519,450,109.15
  5. Step 5: Solve for x
    x = 519,450,109.15/25,897.80
  6. Step 6: Final answer
    x = 20,057.69

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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.