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Finding the Fourth Proportional to 22,332.78, 33,507.45 and 9,178.02

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Solution

The fourth proportional to 22,332.78, 33,507.45 and 9,178.02 is: 13,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332.78 : 33,507.45 = 9,178.02 : x
  2. Step 2: Convert to fraction form
    22,332.78/33,507.45 = 9,178.02/x
  3. Step 3: Cross multiply
    22,332.78x = 33,507.45 × 9,178.02
  4. Step 4: Simplify right side
    22,332.78x = 307,532,046.25
  5. Step 5: Solve for x
    x = 307,532,046.25/22,332.78
  6. Step 6: Final answer
    x = 13,770.43

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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.