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Finding the Fourth Proportional to 22,543.62, 31,110.30 and 12,471.90

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Solution

The fourth proportional to 22,543.62, 31,110.30 and 12,471.90 is: 17,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.62 : 31,110.30 = 12,471.90 : x
  2. Step 2: Convert to fraction form
    22,543.62/31,110.30 = 12,471.90/x
  3. Step 3: Cross multiply
    22,543.62x = 31,110.30 × 12,471.90
  4. Step 4: Simplify right side
    22,543.62x = 388,004,550.57
  5. Step 5: Solve for x
    x = 388,004,550.57/22,543.62
  6. Step 6: Final answer
    x = 17,211.28

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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.