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Finding the Fourth Proportional to 12,781.13, 19,183.13 and 6,545.40

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Solution

The fourth proportional to 12,781.13, 19,183.13 and 6,545.40 is: 9,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.13 : 19,183.13 = 6,545.40 : x
  2. Step 2: Convert to fraction form
    12,781.13/19,183.13 = 6,545.40/x
  3. Step 3: Cross multiply
    12,781.13x = 19,183.13 × 6,545.40
  4. Step 4: Simplify right side
    12,781.13x = 125,561,226.38
  5. Step 5: Solve for x
    x = 125,561,226.38/12,781.13
  6. Step 6: Final answer
    x = 9,823.96

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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.