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Finding the Fourth Proportional to 23,001.98, 31,742 and 12,930.18

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Solution

The fourth proportional to 23,001.98, 31,742 and 12,930.18 is: 17,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001.98 : 31,742 = 12,930.18 : x
  2. Step 2: Convert to fraction form
    23,001.98/31,742 = 12,930.18/x
  3. Step 3: Cross multiply
    23,001.98x = 31,742 × 12,930.18
  4. Step 4: Simplify right side
    23,001.98x = 410,429,773.56
  5. Step 5: Solve for x
    x = 410,429,773.56/23,001.98
  6. Step 6: Final answer
    x = 17,843.24

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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.