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Finding the Fourth Proportional to 27,872.55, 38,434.77 and 21,500.16

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Solution

The fourth proportional to 27,872.55, 38,434.77 and 21,500.16 is: 29,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.55 : 38,434.77 = 21,500.16 : x
  2. Step 2: Convert to fraction form
    27,872.55/38,434.77 = 21,500.16/x
  3. Step 3: Cross multiply
    27,872.55x = 38,434.77 × 21,500.16
  4. Step 4: Simplify right side
    27,872.55x = 826,353,704.56
  5. Step 5: Solve for x
    x = 826,353,704.56/27,872.55
  6. Step 6: Final answer
    x = 29,647.58

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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.