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Finding the Fourth Proportional to 19,823.80, 29,737.58 and 7,176.76

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Solution

The fourth proportional to 19,823.80, 29,737.58 and 7,176.76 is: 10,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.80 : 29,737.58 = 7,176.76 : x
  2. Step 2: Convert to fraction form
    19,823.80/29,737.58 = 7,176.76/x
  3. Step 3: Cross multiply
    19,823.80x = 29,737.58 × 7,176.76
  4. Step 4: Simplify right side
    19,823.80x = 213,419,474.64
  5. Step 5: Solve for x
    x = 213,419,474.64/19,823.80
  6. Step 6: Final answer
    x = 10,765.82

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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.