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Finding the Fourth Proportional to 17,934.14, 24,749.60 and 9,976.91

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Solution

The fourth proportional to 17,934.14, 24,749.60 and 9,976.91 is: 13,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.14 : 24,749.60 = 9,976.91 : x
  2. Step 2: Convert to fraction form
    17,934.14/24,749.60 = 9,976.91/x
  3. Step 3: Cross multiply
    17,934.14x = 24,749.60 × 9,976.91
  4. Step 4: Simplify right side
    17,934.14x = 246,924,358.10
  5. Step 5: Solve for x
    x = 246,924,358.10/17,934.14
  6. Step 6: Final answer
    x = 13,768.40

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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.