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Finding the Fourth Proportional to 12,657.94, 17,443.29 and 9,114.46

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Solution

The fourth proportional to 12,657.94, 17,443.29 and 9,114.46 is: 12,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.94 : 17,443.29 = 9,114.46 : x
  2. Step 2: Convert to fraction form
    12,657.94/17,443.29 = 9,114.46/x
  3. Step 3: Cross multiply
    12,657.94x = 17,443.29 × 9,114.46
  4. Step 4: Simplify right side
    12,657.94x = 158,986,168.97
  5. Step 5: Solve for x
    x = 158,986,168.97/12,657.94
  6. Step 6: Final answer
    x = 12,560.19

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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.