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Finding the Fourth Proportional to 22,747.68, 34,153.14 and 11,662.02

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Solution

The fourth proportional to 22,747.68, 34,153.14 and 11,662.02 is: 17,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.68 : 34,153.14 = 11,662.02 : x
  2. Step 2: Convert to fraction form
    22,747.68/34,153.14 = 11,662.02/x
  3. Step 3: Cross multiply
    22,747.68x = 34,153.14 × 11,662.02
  4. Step 4: Simplify right side
    22,747.68x = 398,294,601.74
  5. Step 5: Solve for x
    x = 398,294,601.74/22,747.68
  6. Step 6: Final answer
    x = 17,509.24

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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.