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Finding the Fourth Proportional to 17,878.30, 24,671.96 and 9,920.50

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Solution

The fourth proportional to 17,878.30, 24,671.96 and 9,920.50 is: 13,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.30 : 24,671.96 = 9,920.50 : x
  2. Step 2: Convert to fraction form
    17,878.30/24,671.96 = 9,920.50/x
  3. Step 3: Cross multiply
    17,878.30x = 24,671.96 × 9,920.50
  4. Step 4: Simplify right side
    17,878.30x = 244,758,179.18
  5. Step 5: Solve for x
    x = 244,758,179.18/17,878.30
  6. Step 6: Final answer
    x = 13,690.24

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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.