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Finding the Fourth Proportional to 22,838.78, 34,275.49 and 9,700.38

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Solution

The fourth proportional to 22,838.78, 34,275.49 and 9,700.38 is: 14,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.78 : 34,275.49 = 9,700.38 : x
  2. Step 2: Convert to fraction form
    22,838.78/34,275.49 = 9,700.38/x
  3. Step 3: Cross multiply
    22,838.78x = 34,275.49 × 9,700.38
  4. Step 4: Simplify right side
    22,838.78x = 332,485,253.44
  5. Step 5: Solve for x
    x = 332,485,253.44/22,838.78
  6. Step 6: Final answer
    x = 14,557.92

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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.