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Finding the Fourth Proportional to 13,832.10, 19,089.90 and 7,864.65

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Solution

The fourth proportional to 13,832.10, 19,089.90 and 7,864.65 is: 10,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.10 : 19,089.90 = 7,864.65 : x
  2. Step 2: Convert to fraction form
    13,832.10/19,089.90 = 7,864.65/x
  3. Step 3: Cross multiply
    13,832.10x = 19,089.90 × 7,864.65
  4. Step 4: Simplify right side
    13,832.10x = 150,135,382.04
  5. Step 5: Solve for x
    x = 150,135,382.04/13,832.10
  6. Step 6: Final answer
    x = 10,854.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.