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Finding the Fourth Proportional to 22,737.28, 31,378.88 and 12,801.92

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Solution

The fourth proportional to 22,737.28, 31,378.88 and 12,801.92 is: 17,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.28 : 31,378.88 = 12,801.92 : x
  2. Step 2: Convert to fraction form
    22,737.28/31,378.88 = 12,801.92/x
  3. Step 3: Cross multiply
    22,737.28x = 31,378.88 × 12,801.92
  4. Step 4: Simplify right side
    22,737.28x = 401,709,911.45
  5. Step 5: Solve for x
    x = 401,709,911.45/22,737.28
  6. Step 6: Final answer
    x = 17,667.46

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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.