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Finding the Fourth Proportional to 12,431.68, 17,155.56 and 9,259.18

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Solution

The fourth proportional to 12,431.68, 17,155.56 and 9,259.18 is: 12,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.68 : 17,155.56 = 9,259.18 : x
  2. Step 2: Convert to fraction form
    12,431.68/17,155.56 = 9,259.18/x
  3. Step 3: Cross multiply
    12,431.68x = 17,155.56 × 9,259.18
  4. Step 4: Simplify right side
    12,431.68x = 158,846,418.04
  5. Step 5: Solve for x
    x = 158,846,418.04/12,431.68
  6. Step 6: Final answer
    x = 12,777.55

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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.