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Finding the Fourth Proportional to 26,545.48, 39,823.98 and 8,077

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Solution

The fourth proportional to 26,545.48, 39,823.98 and 8,077 is: 12,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,545.48 : 39,823.98 = 8,077 : x
  2. Step 2: Convert to fraction form
    26,545.48/39,823.98 = 8,077/x
  3. Step 3: Cross multiply
    26,545.48x = 39,823.98 × 8,077
  4. Step 4: Simplify right side
    26,545.48x = 321,658,286.46
  5. Step 5: Solve for x
    x = 321,658,286.46/26,545.48
  6. Step 6: Final answer
    x = 12,117.25

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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.