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Finding the Fourth Proportional to 12,441.60, 17,168.76 and 7,725.78

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Solution

The fourth proportional to 12,441.60, 17,168.76 and 7,725.78 is: 10,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.60 : 17,168.76 = 7,725.78 : x
  2. Step 2: Convert to fraction form
    12,441.60/17,168.76 = 7,725.78/x
  3. Step 3: Cross multiply
    12,441.60x = 17,168.76 × 7,725.78
  4. Step 4: Simplify right side
    12,441.60x = 132,642,062.63
  5. Step 5: Solve for x
    x = 132,642,062.63/12,441.60
  6. Step 6: Final answer
    x = 10,661.17

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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.