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Finding the Fourth Proportional to 19,785.80, 29,669.13 and 7,311.71

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Solution

The fourth proportional to 19,785.80, 29,669.13 and 7,311.71 is: 10,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.80 : 29,669.13 = 7,311.71 : x
  2. Step 2: Convert to fraction form
    19,785.80/29,669.13 = 7,311.71/x
  3. Step 3: Cross multiply
    19,785.80x = 29,669.13 × 7,311.71
  4. Step 4: Simplify right side
    19,785.80x = 216,931,926.17
  5. Step 5: Solve for x
    x = 216,931,926.17/19,785.80
  6. Step 6: Final answer
    x = 10,964.02

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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.