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Finding the Fourth Proportional to 23,169.10, 31,973 and 13,097.18

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Solution

The fourth proportional to 23,169.10, 31,973 and 13,097.18 is: 18,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.10 : 31,973 = 13,097.18 : x
  2. Step 2: Convert to fraction form
    23,169.10/31,973 = 13,097.18/x
  3. Step 3: Cross multiply
    23,169.10x = 31,973 × 13,097.18
  4. Step 4: Simplify right side
    23,169.10x = 418,756,136.14
  5. Step 5: Solve for x
    x = 418,756,136.14/23,169.10
  6. Step 6: Final answer
    x = 18,073.91

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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.