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Finding the Fourth Proportional to 13,052.97, 18,013.16 and 7,084.65

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Solution

The fourth proportional to 13,052.97, 18,013.16 and 7,084.65 is: 9,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.97 : 18,013.16 = 7,084.65 : x
  2. Step 2: Convert to fraction form
    13,052.97/18,013.16 = 7,084.65/x
  3. Step 3: Cross multiply
    13,052.97x = 18,013.16 × 7,084.65
  4. Step 4: Simplify right side
    13,052.97x = 127,616,951.71
  5. Step 5: Solve for x
    x = 127,616,951.71/13,052.97
  6. Step 6: Final answer
    x = 9,776.85

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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.