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Finding the Fourth Proportional to 17,612.32, 24,305.33 and 9,654.49

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Solution

The fourth proportional to 17,612.32, 24,305.33 and 9,654.49 is: 13,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.32 : 24,305.33 = 9,654.49 : x
  2. Step 2: Convert to fraction form
    17,612.32/24,305.33 = 9,654.49/x
  3. Step 3: Cross multiply
    17,612.32x = 24,305.33 × 9,654.49
  4. Step 4: Simplify right side
    17,612.32x = 234,655,565.43
  5. Step 5: Solve for x
    x = 234,655,565.43/17,612.32
  6. Step 6: Final answer
    x = 13,323.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.