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Finding the Fourth Proportional to 27,977.88, 38,614.65 and 16,041.30

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Solution

The fourth proportional to 27,977.88, 38,614.65 and 16,041.30 is: 22,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.88 : 38,614.65 = 16,041.30 : x
  2. Step 2: Convert to fraction form
    27,977.88/38,614.65 = 16,041.30/x
  3. Step 3: Cross multiply
    27,977.88x = 38,614.65 × 16,041.30
  4. Step 4: Simplify right side
    27,977.88x = 619,429,185.05
  5. Step 5: Solve for x
    x = 619,429,185.05/27,977.88
  6. Step 6: Final answer
    x = 22,139.96

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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.