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Finding the Fourth Proportional to 16,277.56, 22,458.98 and 9,472.70

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Solution

The fourth proportional to 16,277.56, 22,458.98 and 9,472.70 is: 13,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.56 : 22,458.98 = 9,472.70 : x
  2. Step 2: Convert to fraction form
    16,277.56/22,458.98 = 9,472.70/x
  3. Step 3: Cross multiply
    16,277.56x = 22,458.98 × 9,472.70
  4. Step 4: Simplify right side
    16,277.56x = 212,747,179.85
  5. Step 5: Solve for x
    x = 212,747,179.85/16,277.56
  6. Step 6: Final answer
    x = 13,069.97

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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.