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Finding the Fourth Proportional to 12,142.72, 16,757.72 and 7,366.02

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Solution

The fourth proportional to 12,142.72, 16,757.72 and 7,366.02 is: 10,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.72 : 16,757.72 = 7,366.02 : x
  2. Step 2: Convert to fraction form
    12,142.72/16,757.72 = 7,366.02/x
  3. Step 3: Cross multiply
    12,142.72x = 16,757.72 × 7,366.02
  4. Step 4: Simplify right side
    12,142.72x = 123,437,700.67
  5. Step 5: Solve for x
    x = 123,437,700.67/12,142.72
  6. Step 6: Final answer
    x = 10,165.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.