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Finding the Fourth Proportional to 12,812.53, 17,680.78 and 7,434.69

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Solution

The fourth proportional to 12,812.53, 17,680.78 and 7,434.69 is: 10,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.53 : 17,680.78 = 7,434.69 : x
  2. Step 2: Convert to fraction form
    12,812.53/17,680.78 = 7,434.69/x
  3. Step 3: Cross multiply
    12,812.53x = 17,680.78 × 7,434.69
  4. Step 4: Simplify right side
    12,812.53x = 131,451,140.72
  5. Step 5: Solve for x
    x = 131,451,140.72/12,812.53
  6. Step 6: Final answer
    x = 10,259.58

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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.