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Finding the Fourth Proportional to 12,400.68, 17,113.24 and 7,097.20

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Solution

The fourth proportional to 12,400.68, 17,113.24 and 7,097.20 is: 9,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.68 : 17,113.24 = 7,097.20 : x
  2. Step 2: Convert to fraction form
    12,400.68/17,113.24 = 7,097.20/x
  3. Step 3: Cross multiply
    12,400.68x = 17,113.24 × 7,097.20
  4. Step 4: Simplify right side
    12,400.68x = 121,456,077.27
  5. Step 5: Solve for x
    x = 121,456,077.27/12,400.68
  6. Step 6: Final answer
    x = 9,794.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.