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Finding the Fourth Proportional to 27,883.78, 38,462.10 and 16,545.26

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Solution

The fourth proportional to 27,883.78, 38,462.10 and 16,545.26 is: 22,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.78 : 38,462.10 = 16,545.26 : x
  2. Step 2: Convert to fraction form
    27,883.78/38,462.10 = 16,545.26/x
  3. Step 3: Cross multiply
    27,883.78x = 38,462.10 × 16,545.26
  4. Step 4: Simplify right side
    27,883.78x = 636,365,444.65
  5. Step 5: Solve for x
    x = 636,365,444.65/27,883.78
  6. Step 6: Final answer
    x = 22,822.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.