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Finding the Fourth Proportional to 22,564.28, 33,878.28 and 14,217.24

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Solution

The fourth proportional to 22,564.28, 33,878.28 and 14,217.24 is: 21,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.28 : 33,878.28 = 14,217.24 : x
  2. Step 2: Convert to fraction form
    22,564.28/33,878.28 = 14,217.24/x
  3. Step 3: Cross multiply
    22,564.28x = 33,878.28 × 14,217.24
  4. Step 4: Simplify right side
    22,564.28x = 481,655,637.55
  5. Step 5: Solve for x
    x = 481,655,637.55/22,564.28
  6. Step 6: Final answer
    x = 21,345.93

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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.