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Finding the Fourth Proportional to 22,854.52, 31,538.82 and 12,918.52

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Solution

The fourth proportional to 22,854.52, 31,538.82 and 12,918.52 is: 17,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.52 : 31,538.82 = 12,918.52 : x
  2. Step 2: Convert to fraction form
    22,854.52/31,538.82 = 12,918.52/x
  3. Step 3: Cross multiply
    22,854.52x = 31,538.82 × 12,918.52
  4. Step 4: Simplify right side
    22,854.52x = 407,434,876.95
  5. Step 5: Solve for x
    x = 407,434,876.95/22,854.52
  6. Step 6: Final answer
    x = 17,827.32

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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.