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Finding the Fourth Proportional to 17,877.98, 24,671.45 and 9,920.27

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Solution

The fourth proportional to 17,877.98, 24,671.45 and 9,920.27 is: 13,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.98 : 24,671.45 = 9,920.27 : x
  2. Step 2: Convert to fraction form
    17,877.98/24,671.45 = 9,920.27/x
  3. Step 3: Cross multiply
    17,877.98x = 24,671.45 × 9,920.27
  4. Step 4: Simplify right side
    17,877.98x = 244,747,531.77
  5. Step 5: Solve for x
    x = 244,747,531.77/17,877.98
  6. Step 6: Final answer
    x = 13,689.89

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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.