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Finding the Fourth Proportional to 19,836.72, 29,756.84 and 7,189.65

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Solution

The fourth proportional to 19,836.72, 29,756.84 and 7,189.65 is: 10,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.72 : 29,756.84 = 7,189.65 : x
  2. Step 2: Convert to fraction form
    19,836.72/29,756.84 = 7,189.65/x
  3. Step 3: Cross multiply
    19,836.72x = 29,756.84 × 7,189.65
  4. Step 4: Simplify right side
    19,836.72x = 213,941,228.76
  5. Step 5: Solve for x
    x = 213,941,228.76/19,836.72
  6. Step 6: Final answer
    x = 10,785.11

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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.