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Finding the Fourth Proportional to 12,277.81, 18,414.46 and 3,510.60

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Solution

The fourth proportional to 12,277.81, 18,414.46 and 3,510.60 is: 5,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.81 : 18,414.46 = 3,510.60 : x
  2. Step 2: Convert to fraction form
    12,277.81/18,414.46 = 3,510.60/x
  3. Step 3: Cross multiply
    12,277.81x = 18,414.46 × 3,510.60
  4. Step 4: Simplify right side
    12,277.81x = 64,645,803.28
  5. Step 5: Solve for x
    x = 64,645,803.28/12,277.81
  6. Step 6: Final answer
    x = 5,265.26

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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.