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Finding the Fourth Proportional to 17,930.16, 24,743.88 and 10,857.24

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Solution

The fourth proportional to 17,930.16, 24,743.88 and 10,857.24 is: 14,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.16 : 24,743.88 = 10,857.24 : x
  2. Step 2: Convert to fraction form
    17,930.16/24,743.88 = 10,857.24/x
  3. Step 3: Cross multiply
    17,930.16x = 24,743.88 × 10,857.24
  4. Step 4: Simplify right side
    17,930.16x = 268,650,243.69
  5. Step 5: Solve for x
    x = 268,650,243.69/17,930.16
  6. Step 6: Final answer
    x = 14,983.15

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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.