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Finding the Fourth Proportional to 12,568.41, 18,854.42 and 3,802.41

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Solution

The fourth proportional to 12,568.41, 18,854.42 and 3,802.41 is: 5,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.41 : 18,854.42 = 3,802.41 : x
  2. Step 2: Convert to fraction form
    12,568.41/18,854.42 = 3,802.41/x
  3. Step 3: Cross multiply
    12,568.41x = 18,854.42 × 3,802.41
  4. Step 4: Simplify right side
    12,568.41x = 71,692,216.14
  5. Step 5: Solve for x
    x = 71,692,216.14/12,568.41
  6. Step 6: Final answer
    x = 5,704.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.