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Finding the Fourth Proportional to 22,747.84, 34,115.28 and 14,415.28

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Solution

The fourth proportional to 22,747.84, 34,115.28 and 14,415.28 is: 21,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.84 : 34,115.28 = 14,415.28 : x
  2. Step 2: Convert to fraction form
    22,747.84/34,115.28 = 14,415.28/x
  3. Step 3: Cross multiply
    22,747.84x = 34,115.28 × 14,415.28
  4. Step 4: Simplify right side
    22,747.84x = 491,781,313.48
  5. Step 5: Solve for x
    x = 491,781,313.48/22,747.84
  6. Step 6: Final answer
    x = 21,618.81

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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.