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Finding the Fourth Proportional to 12,780.88, 19,189.26 and 6,545.38

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Solution

The fourth proportional to 12,780.88, 19,189.26 and 6,545.38 is: 9,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.88 : 19,189.26 = 6,545.38 : x
  2. Step 2: Convert to fraction form
    12,780.88/19,189.26 = 6,545.38/x
  3. Step 3: Cross multiply
    12,780.88x = 19,189.26 × 6,545.38
  4. Step 4: Simplify right side
    12,780.88x = 125,600,998.62
  5. Step 5: Solve for x
    x = 125,600,998.62/12,780.88
  6. Step 6: Final answer
    x = 9,827.26

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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.