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Finding the Fourth Proportional to 17,648.56, 24,359.42 and 10,930.16

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Solution

The fourth proportional to 17,648.56, 24,359.42 and 10,930.16 is: 15,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.56 : 24,359.42 = 10,930.16 : x
  2. Step 2: Convert to fraction form
    17,648.56/24,359.42 = 10,930.16/x
  3. Step 3: Cross multiply
    17,648.56x = 24,359.42 × 10,930.16
  4. Step 4: Simplify right side
    17,648.56x = 266,252,358.11
  5. Step 5: Solve for x
    x = 266,252,358.11/17,648.56
  6. Step 6: Final answer
    x = 15,086.35

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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.