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Finding the Fourth Proportional to 13,008.57, 17,951.72 and 10,178.83

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Solution

The fourth proportional to 13,008.57, 17,951.72 and 10,178.83 is: 14,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.57 : 17,951.72 = 10,178.83 : x
  2. Step 2: Convert to fraction form
    13,008.57/17,951.72 = 10,178.83/x
  3. Step 3: Cross multiply
    13,008.57x = 17,951.72 × 10,178.83
  4. Step 4: Simplify right side
    13,008.57x = 182,727,506.09
  5. Step 5: Solve for x
    x = 182,727,506.09/13,008.57
  6. Step 6: Final answer
    x = 14,046.70

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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.