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Finding the Fourth Proportional to 13,505.97, 20,258.37 and 9,562.83

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Solution

The fourth proportional to 13,505.97, 20,258.37 and 9,562.83 is: 14,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.97 : 20,258.37 = 9,562.83 : x
  2. Step 2: Convert to fraction form
    13,505.97/20,258.37 = 9,562.83/x
  3. Step 3: Cross multiply
    13,505.97x = 20,258.37 × 9,562.83
  4. Step 4: Simplify right side
    13,505.97x = 193,727,272.42
  5. Step 5: Solve for x
    x = 193,727,272.42/13,505.97
  6. Step 6: Final answer
    x = 14,343.82

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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.