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Finding the Fourth Proportional to 22,038.81, 30,422.24 and 14,872.97

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Solution

The fourth proportional to 22,038.81, 30,422.24 and 14,872.97 is: 20,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.81 : 30,422.24 = 14,872.97 : x
  2. Step 2: Convert to fraction form
    22,038.81/30,422.24 = 14,872.97/x
  3. Step 3: Cross multiply
    22,038.81x = 30,422.24 × 14,872.97
  4. Step 4: Simplify right side
    22,038.81x = 452,468,836.38
  5. Step 5: Solve for x
    x = 452,468,836.38/22,038.81
  6. Step 6: Final answer
    x = 20,530.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.