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Finding the Fourth Proportional to 19,766.53, 29,642.66 and 7,923.02

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Solution

The fourth proportional to 19,766.53, 29,642.66 and 7,923.02 is: 11,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.53 : 29,642.66 = 7,923.02 : x
  2. Step 2: Convert to fraction form
    19,766.53/29,642.66 = 7,923.02/x
  3. Step 3: Cross multiply
    19,766.53x = 29,642.66 × 7,923.02
  4. Step 4: Simplify right side
    19,766.53x = 234,859,229.92
  5. Step 5: Solve for x
    x = 234,859,229.92/19,766.53
  6. Step 6: Final answer
    x = 11,881.66

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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.