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Finding the Fourth Proportional to 22,614.75, 31,208.15 and 12,543.21

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Solution

The fourth proportional to 22,614.75, 31,208.15 and 12,543.21 is: 17,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.75 : 31,208.15 = 12,543.21 : x
  2. Step 2: Convert to fraction form
    22,614.75/31,208.15 = 12,543.21/x
  3. Step 3: Cross multiply
    22,614.75x = 31,208.15 × 12,543.21
  4. Step 4: Simplify right side
    22,614.75x = 391,450,316.45
  5. Step 5: Solve for x
    x = 391,450,316.45/22,614.75
  6. Step 6: Final answer
    x = 17,309.51

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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.