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Finding the Fourth Proportional to 17,875.56, 24,671.24 and 9,920.34

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Solution

The fourth proportional to 17,875.56, 24,671.24 and 9,920.34 is: 13,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.56 : 24,671.24 = 9,920.34 : x
  2. Step 2: Convert to fraction form
    17,875.56/24,671.24 = 9,920.34/x
  3. Step 3: Cross multiply
    17,875.56x = 24,671.24 × 9,920.34
  4. Step 4: Simplify right side
    17,875.56x = 244,747,039.42
  5. Step 5: Solve for x
    x = 244,747,039.42/17,875.56
  6. Step 6: Final answer
    x = 13,691.71

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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.