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Finding the Fourth Proportional to 22,711.28, 31,341.80 and 13,278

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Solution

The fourth proportional to 22,711.28, 31,341.80 and 13,278 is: 18,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.28 : 31,341.80 = 13,278 : x
  2. Step 2: Convert to fraction form
    22,711.28/31,341.80 = 13,278/x
  3. Step 3: Cross multiply
    22,711.28x = 31,341.80 × 13,278
  4. Step 4: Simplify right side
    22,711.28x = 416,156,420.40
  5. Step 5: Solve for x
    x = 416,156,420.40/22,711.28
  6. Step 6: Final answer
    x = 18,323.78

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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.