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Finding the Fourth Proportional to 19,725.92, 29,589.05 and 7,246.16

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Solution

The fourth proportional to 19,725.92, 29,589.05 and 7,246.16 is: 10,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.92 : 29,589.05 = 7,246.16 : x
  2. Step 2: Convert to fraction form
    19,725.92/29,589.05 = 7,246.16/x
  3. Step 3: Cross multiply
    19,725.92x = 29,589.05 × 7,246.16
  4. Step 4: Simplify right side
    19,725.92x = 214,406,860.72
  5. Step 5: Solve for x
    x = 214,406,860.72/19,725.92
  6. Step 6: Final answer
    x = 10,869.30

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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.