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Finding the Fourth Proportional to 17,822.70, 24,593.76 and 9,864.86

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Solution

The fourth proportional to 17,822.70, 24,593.76 and 9,864.86 is: 13,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.70 : 24,593.76 = 9,864.86 : x
  2. Step 2: Convert to fraction form
    17,822.70/24,593.76 = 9,864.86/x
  3. Step 3: Cross multiply
    17,822.70x = 24,593.76 × 9,864.86
  4. Step 4: Simplify right side
    17,822.70x = 242,613,876.30
  5. Step 5: Solve for x
    x = 242,613,876.30/17,822.70
  6. Step 6: Final answer
    x = 13,612.63

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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.