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Finding the Fourth Proportional to 23,164.39, 34,719.72 and 10,658.16

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Solution

The fourth proportional to 23,164.39, 34,719.72 and 10,658.16 is: 15,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.39 : 34,719.72 = 10,658.16 : x
  2. Step 2: Convert to fraction form
    23,164.39/34,719.72 = 10,658.16/x
  3. Step 3: Cross multiply
    23,164.39x = 34,719.72 × 10,658.16
  4. Step 4: Simplify right side
    23,164.39x = 370,048,290.95
  5. Step 5: Solve for x
    x = 370,048,290.95/23,164.39
  6. Step 6: Final answer
    x = 15,974.88

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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.