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Finding the Fourth Proportional to 18,545.78, 27,822.30 and 8,157.50

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Solution

The fourth proportional to 18,545.78, 27,822.30 and 8,157.50 is: 12,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,545.78 : 27,822.30 = 8,157.50 : x
  2. Step 2: Convert to fraction form
    18,545.78/27,822.30 = 8,157.50/x
  3. Step 3: Cross multiply
    18,545.78x = 27,822.30 × 8,157.50
  4. Step 4: Simplify right side
    18,545.78x = 226,960,412.25
  5. Step 5: Solve for x
    x = 226,960,412.25/18,545.78
  6. Step 6: Final answer
    x = 12,237.85

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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.