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Finding the Fourth Proportional to 22,713.20, 34,064.64 and 7,127.12

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Solution

The fourth proportional to 22,713.20, 34,064.64 and 7,127.12 is: 10,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.20 : 34,064.64 = 7,127.12 : x
  2. Step 2: Convert to fraction form
    22,713.20/34,064.64 = 7,127.12/x
  3. Step 3: Cross multiply
    22,713.20x = 34,064.64 × 7,127.12
  4. Step 4: Simplify right side
    22,713.20x = 242,782,777.04
  5. Step 5: Solve for x
    x = 242,782,777.04/22,713.20
  6. Step 6: Final answer
    x = 10,689.06

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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.