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Finding the Fourth Proportional to 27,577.68, 38,046.16 and 16,229.18

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Solution

The fourth proportional to 27,577.68, 38,046.16 and 16,229.18 is: 22,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.68 : 38,046.16 = 16,229.18 : x
  2. Step 2: Convert to fraction form
    27,577.68/38,046.16 = 16,229.18/x
  3. Step 3: Cross multiply
    27,577.68x = 38,046.16 × 16,229.18
  4. Step 4: Simplify right side
    27,577.68x = 617,457,978.95
  5. Step 5: Solve for x
    x = 617,457,978.95/27,577.68
  6. Step 6: Final answer
    x = 22,389.77

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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.