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Finding the Fourth Proportional to 26,545.88, 39,822.48 and 9,011

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Solution

The fourth proportional to 26,545.88, 39,822.48 and 9,011 is: 13,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,545.88 : 39,822.48 = 9,011 : x
  2. Step 2: Convert to fraction form
    26,545.88/39,822.48 = 9,011/x
  3. Step 3: Cross multiply
    26,545.88x = 39,822.48 × 9,011
  4. Step 4: Simplify right side
    26,545.88x = 358,840,367.28
  5. Step 5: Solve for x
    x = 358,840,367.28/26,545.88
  6. Step 6: Final answer
    x = 13,517.74

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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.