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Finding the Fourth Proportional to 13,191.48, 19,757.72 and 10,209.65

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Solution

The fourth proportional to 13,191.48, 19,757.72 and 10,209.65 is: 15,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.48 : 19,757.72 = 10,209.65 : x
  2. Step 2: Convert to fraction form
    13,191.48/19,757.72 = 10,209.65/x
  3. Step 3: Cross multiply
    13,191.48x = 19,757.72 × 10,209.65
  4. Step 4: Simplify right side
    13,191.48x = 201,719,332.73
  5. Step 5: Solve for x
    x = 201,719,332.73/13,191.48
  6. Step 6: Final answer
    x = 15,291.63

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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.