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Finding the Fourth Proportional to 22,614.86, 31,206.41 and 12,543.11

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Solution

The fourth proportional to 22,614.86, 31,206.41 and 12,543.11 is: 17,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.86 : 31,206.41 = 12,543.11 : x
  2. Step 2: Convert to fraction form
    22,614.86/31,206.41 = 12,543.11/x
  3. Step 3: Cross multiply
    22,614.86x = 31,206.41 × 12,543.11
  4. Step 4: Simplify right side
    22,614.86x = 391,425,433.34
  5. Step 5: Solve for x
    x = 391,425,433.34/22,614.86
  6. Step 6: Final answer
    x = 17,308.33

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