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Finding the Fourth Proportional to 13,013.65, 17,954.47 and 8,474.28

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Solution

The fourth proportional to 13,013.65, 17,954.47 and 8,474.28 is: 11,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.65 : 17,954.47 = 8,474.28 : x
  2. Step 2: Convert to fraction form
    13,013.65/17,954.47 = 8,474.28/x
  3. Step 3: Cross multiply
    13,013.65x = 17,954.47 × 8,474.28
  4. Step 4: Simplify right side
    13,013.65x = 152,151,206.03
  5. Step 5: Solve for x
    x = 152,151,206.03/13,013.65
  6. Step 6: Final answer
    x = 11,691.66

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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.