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Finding the Fourth Proportional to 22,807.88, 31,469.26 and 13,854.85

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Solution

The fourth proportional to 22,807.88, 31,469.26 and 13,854.85 is: 19,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.88 : 31,469.26 = 13,854.85 : x
  2. Step 2: Convert to fraction form
    22,807.88/31,469.26 = 13,854.85/x
  3. Step 3: Cross multiply
    22,807.88x = 31,469.26 × 13,854.85
  4. Step 4: Simplify right side
    22,807.88x = 436,001,789.58
  5. Step 5: Solve for x
    x = 436,001,789.58/22,807.88
  6. Step 6: Final answer
    x = 19,116.28

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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.