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Finding the Fourth Proportional to 15,706.38, 23,546.80 and 8,686.11

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Solution

The fourth proportional to 15,706.38, 23,546.80 and 8,686.11 is: 13,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.38 : 23,546.80 = 8,686.11 : x
  2. Step 2: Convert to fraction form
    15,706.38/23,546.80 = 8,686.11/x
  3. Step 3: Cross multiply
    15,706.38x = 23,546.80 × 8,686.11
  4. Step 4: Simplify right side
    15,706.38x = 204,530,094.95
  5. Step 5: Solve for x
    x = 204,530,094.95/15,706.38
  6. Step 6: Final answer
    x = 13,022.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.