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Finding the Fourth Proportional to 13,260.74, 19,891.12 and 7,414.16

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Solution

The fourth proportional to 13,260.74, 19,891.12 and 7,414.16 is: 11,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260.74 : 19,891.12 = 7,414.16 : x
  2. Step 2: Convert to fraction form
    13,260.74/19,891.12 = 7,414.16/x
  3. Step 3: Cross multiply
    13,260.74x = 19,891.12 × 7,414.16
  4. Step 4: Simplify right side
    13,260.74x = 147,475,946.26
  5. Step 5: Solve for x
    x = 147,475,946.26/13,260.74
  6. Step 6: Final answer
    x = 11,121.25

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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.