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Finding the Fourth Proportional to 27,545.50, 38,021.80 and 16,214.86

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Solution

The fourth proportional to 27,545.50, 38,021.80 and 16,214.86 is: 22,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,545.50 : 38,021.80 = 16,214.86 : x
  2. Step 2: Convert to fraction form
    27,545.50/38,021.80 = 16,214.86/x
  3. Step 3: Cross multiply
    27,545.50x = 38,021.80 × 16,214.86
  4. Step 4: Simplify right side
    27,545.50x = 616,518,163.95
  5. Step 5: Solve for x
    x = 616,518,163.95/27,545.50
  6. Step 6: Final answer
    x = 22,381.81

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Why These Related Problems?

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