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Finding the Fourth Proportional to 15,772.47, 23,693.05 and 9,535.42

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Solution

The fourth proportional to 15,772.47, 23,693.05 and 9,535.42 is: 14,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.47 : 23,693.05 = 9,535.42 : x
  2. Step 2: Convert to fraction form
    15,772.47/23,693.05 = 9,535.42/x
  3. Step 3: Cross multiply
    15,772.47x = 23,693.05 × 9,535.42
  4. Step 4: Simplify right side
    15,772.47x = 225,923,188.61
  5. Step 5: Solve for x
    x = 225,923,188.61/15,772.47
  6. Step 6: Final answer
    x = 14,323.89

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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.