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Finding the Fourth Proportional to 16,505.13, 24,757.70 and 7,271.13

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Solution

The fourth proportional to 16,505.13, 24,757.70 and 7,271.13 is: 10,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.13 : 24,757.70 = 7,271.13 : x
  2. Step 2: Convert to fraction form
    16,505.13/24,757.70 = 7,271.13/x
  3. Step 3: Cross multiply
    16,505.13x = 24,757.70 × 7,271.13
  4. Step 4: Simplify right side
    16,505.13x = 180,016,455.20
  5. Step 5: Solve for x
    x = 180,016,455.20/16,505.13
  6. Step 6: Final answer
    x = 10,906.70

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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.