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Finding the Fourth Proportional to 27,549.95, 38,020.55 and 16,216.83

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Solution

The fourth proportional to 27,549.95, 38,020.55 and 16,216.83 is: 22,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.95 : 38,020.55 = 16,216.83 : x
  2. Step 2: Convert to fraction form
    27,549.95/38,020.55 = 16,216.83/x
  3. Step 3: Cross multiply
    27,549.95x = 38,020.55 × 16,216.83
  4. Step 4: Simplify right side
    27,549.95x = 616,572,714.77
  5. Step 5: Solve for x
    x = 616,572,714.77/27,549.95
  6. Step 6: Final answer
    x = 22,380.18

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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.