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Finding the Fourth Proportional to 25,149.60, 37,729.23 and 9,565.98

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Solution

The fourth proportional to 25,149.60, 37,729.23 and 9,565.98 is: 14,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.60 : 37,729.23 = 9,565.98 : x
  2. Step 2: Convert to fraction form
    25,149.60/37,729.23 = 9,565.98/x
  3. Step 3: Cross multiply
    25,149.60x = 37,729.23 × 9,565.98
  4. Step 4: Simplify right side
    25,149.60x = 360,917,059.60
  5. Step 5: Solve for x
    x = 360,917,059.60/25,149.60
  6. Step 6: Final answer
    x = 14,350.81

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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.