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Finding the Fourth Proportional to 22,711.69, 31,342.39 and 12,503.87

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Solution

The fourth proportional to 22,711.69, 31,342.39 and 12,503.87 is: 17,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.69 : 31,342.39 = 12,503.87 : x
  2. Step 2: Convert to fraction form
    22,711.69/31,342.39 = 12,503.87/x
  3. Step 3: Cross multiply
    22,711.69x = 31,342.39 × 12,503.87
  4. Step 4: Simplify right side
    22,711.69x = 391,901,169.95
  5. Step 5: Solve for x
    x = 391,901,169.95/22,711.69
  6. Step 6: Final answer
    x = 17,255.48

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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.