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Finding the Fourth Proportional to 12,781.12, 19,174.52 and 4,990

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Solution

The fourth proportional to 12,781.12, 19,174.52 and 4,990 is: 7,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.12 : 19,174.52 = 4,990 : x
  2. Step 2: Convert to fraction form
    12,781.12/19,174.52 = 4,990/x
  3. Step 3: Cross multiply
    12,781.12x = 19,174.52 × 4,990
  4. Step 4: Simplify right side
    12,781.12x = 95,680,854.80
  5. Step 5: Solve for x
    x = 95,680,854.80/12,781.12
  6. Step 6: Final answer
    x = 7,486.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.