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Finding the Fourth Proportional to 22,862.68, 31,543.50 and 14,902

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Solution

The fourth proportional to 22,862.68, 31,543.50 and 14,902 is: 20,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.68 : 31,543.50 = 14,902 : x
  2. Step 2: Convert to fraction form
    22,862.68/31,543.50 = 14,902/x
  3. Step 3: Cross multiply
    22,862.68x = 31,543.50 × 14,902
  4. Step 4: Simplify right side
    22,862.68x = 470,061,237
  5. Step 5: Solve for x
    x = 470,061,237/22,862.68
  6. Step 6: Final answer
    x = 20,560.20

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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.