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Finding the Fourth Proportional to 13,149.65, 19,732.28 and 5,255.90

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Solution

The fourth proportional to 13,149.65, 19,732.28 and 5,255.90 is: 7,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.65 : 19,732.28 = 5,255.90 : x
  2. Step 2: Convert to fraction form
    13,149.65/19,732.28 = 5,255.90/x
  3. Step 3: Cross multiply
    13,149.65x = 19,732.28 × 5,255.90
  4. Step 4: Simplify right side
    13,149.65x = 103,710,765.51
  5. Step 5: Solve for x
    x = 103,710,765.51/13,149.65
  6. Step 6: Final answer
    x = 7,886.96

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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.