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Finding the Fourth Proportional to 22,661.86, 31,275.49 and 13,711.58

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Solution

The fourth proportional to 22,661.86, 31,275.49 and 13,711.58 is: 18,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.86 : 31,275.49 = 13,711.58 : x
  2. Step 2: Convert to fraction form
    22,661.86/31,275.49 = 13,711.58/x
  3. Step 3: Cross multiply
    22,661.86x = 31,275.49 × 13,711.58
  4. Step 4: Simplify right side
    22,661.86x = 428,836,383.17
  5. Step 5: Solve for x
    x = 428,836,383.17/22,661.86
  6. Step 6: Final answer
    x = 18,923.27

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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.