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Finding the Fourth Proportional to 13,009.38, 19,514.03 and 3,148.65

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Solution

The fourth proportional to 13,009.38, 19,514.03 and 3,148.65 is: 4,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.38 : 19,514.03 = 3,148.65 : x
  2. Step 2: Convert to fraction form
    13,009.38/19,514.03 = 3,148.65/x
  3. Step 3: Cross multiply
    13,009.38x = 19,514.03 × 3,148.65
  4. Step 4: Simplify right side
    13,009.38x = 61,442,834.82
  5. Step 5: Solve for x
    x = 61,442,834.82/13,009.38
  6. Step 6: Final answer
    x = 4,722.97

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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.