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Finding the Fourth Proportional to 17,930.83, 24,745.16 and 9,864.84

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Solution

The fourth proportional to 17,930.83, 24,745.16 and 9,864.84 is: 13,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.83 : 24,745.16 = 9,864.84 : x
  2. Step 2: Convert to fraction form
    17,930.83/24,745.16 = 9,864.84/x
  3. Step 3: Cross multiply
    17,930.83x = 24,745.16 × 9,864.84
  4. Step 4: Simplify right side
    17,930.83x = 244,107,044.17
  5. Step 5: Solve for x
    x = 244,107,044.17/17,930.83
  6. Step 6: Final answer
    x = 13,613.82

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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.