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Finding the Fourth Proportional to 13,264.13, 19,891.74 and 6,686.12

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Solution

The fourth proportional to 13,264.13, 19,891.74 and 6,686.12 is: 10,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.13 : 19,891.74 = 6,686.12 : x
  2. Step 2: Convert to fraction form
    13,264.13/19,891.74 = 6,686.12/x
  3. Step 3: Cross multiply
    13,264.13x = 19,891.74 × 6,686.12
  4. Step 4: Simplify right side
    13,264.13x = 132,998,560.65
  5. Step 5: Solve for x
    x = 132,998,560.65/13,264.13
  6. Step 6: Final answer
    x = 10,026.93

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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.