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Finding the Fourth Proportional to 17,875.68, 24,671.39 and 9,920.46

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Solution

The fourth proportional to 17,875.68, 24,671.39 and 9,920.46 is: 13,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.68 : 24,671.39 = 9,920.46 : x
  2. Step 2: Convert to fraction form
    17,875.68/24,671.39 = 9,920.46/x
  3. Step 3: Cross multiply
    17,875.68x = 24,671.39 × 9,920.46
  4. Step 4: Simplify right side
    17,875.68x = 244,751,537.64
  5. Step 5: Solve for x
    x = 244,751,537.64/17,875.68
  6. Step 6: Final answer
    x = 13,691.87

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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.