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Finding the Fourth Proportional to 23,139.54, 34,710.84 and 9,098.46

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Solution

The fourth proportional to 23,139.54, 34,710.84 and 9,098.46 is: 13,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139.54 : 34,710.84 = 9,098.46 : x
  2. Step 2: Convert to fraction form
    23,139.54/34,710.84 = 9,098.46/x
  3. Step 3: Cross multiply
    23,139.54x = 34,710.84 × 9,098.46
  4. Step 4: Simplify right side
    23,139.54x = 315,815,189.31
  5. Step 5: Solve for x
    x = 315,815,189.31/23,139.54
  6. Step 6: Final answer
    x = 13,648.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.