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Finding the Fourth Proportional to 23,013.57, 31,759.88 and 12,945.18

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Solution

The fourth proportional to 23,013.57, 31,759.88 and 12,945.18 is: 17,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.57 : 31,759.88 = 12,945.18 : x
  2. Step 2: Convert to fraction form
    23,013.57/31,759.88 = 12,945.18/x
  3. Step 3: Cross multiply
    23,013.57x = 31,759.88 × 12,945.18
  4. Step 4: Simplify right side
    23,013.57x = 411,137,298.65
  5. Step 5: Solve for x
    x = 411,137,298.65/23,013.57
  6. Step 6: Final answer
    x = 17,864.99

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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.