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Finding the Fourth Proportional to 14,493.98, 21,747.15 and 6,177.91

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Solution

The fourth proportional to 14,493.98, 21,747.15 and 6,177.91 is: 9,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.98 : 21,747.15 = 6,177.91 : x
  2. Step 2: Convert to fraction form
    14,493.98/21,747.15 = 6,177.91/x
  3. Step 3: Cross multiply
    14,493.98x = 21,747.15 × 6,177.91
  4. Step 4: Simplify right side
    14,493.98x = 134,351,826.72
  5. Step 5: Solve for x
    x = 134,351,826.72/14,493.98
  6. Step 6: Final answer
    x = 9,269.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.