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Finding the Fourth Proportional to 22,806.14, 31,470.07 and 13,244.16

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Solution

The fourth proportional to 22,806.14, 31,470.07 and 13,244.16 is: 18,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.14 : 31,470.07 = 13,244.16 : x
  2. Step 2: Convert to fraction form
    22,806.14/31,470.07 = 13,244.16/x
  3. Step 3: Cross multiply
    22,806.14x = 31,470.07 × 13,244.16
  4. Step 4: Simplify right side
    22,806.14x = 416,794,642.29
  5. Step 5: Solve for x
    x = 416,794,642.29/22,806.14
  6. Step 6: Final answer
    x = 18,275.55

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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.