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Finding the Fourth Proportional to 22,711.54, 31,345.68 and 13,278.28

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Solution

The fourth proportional to 22,711.54, 31,345.68 and 13,278.28 is: 18,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.54 : 31,345.68 = 13,278.28 : x
  2. Step 2: Convert to fraction form
    22,711.54/31,345.68 = 13,278.28/x
  3. Step 3: Cross multiply
    22,711.54x = 31,345.68 × 13,278.28
  4. Step 4: Simplify right side
    22,711.54x = 416,216,715.83
  5. Step 5: Solve for x
    x = 416,216,715.83/22,711.54
  6. Step 6: Final answer
    x = 18,326.22

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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.