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Finding the Fourth Proportional to 22,902.16, 31,620.40 and 14,301.44

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Solution

The fourth proportional to 22,902.16, 31,620.40 and 14,301.44 is: 19,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.16 : 31,620.40 = 14,301.44 : x
  2. Step 2: Convert to fraction form
    22,902.16/31,620.40 = 14,301.44/x
  3. Step 3: Cross multiply
    22,902.16x = 31,620.40 × 14,301.44
  4. Step 4: Simplify right side
    22,902.16x = 452,217,253.38
  5. Step 5: Solve for x
    x = 452,217,253.38/22,902.16
  6. Step 6: Final answer
    x = 19,745.62

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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.