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Finding the Fourth Proportional to 12,641.43, 18,959.27 and 3,408.15

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Solution

The fourth proportional to 12,641.43, 18,959.27 and 3,408.15 is: 5,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.43 : 18,959.27 = 3,408.15 : x
  2. Step 2: Convert to fraction form
    12,641.43/18,959.27 = 3,408.15/x
  3. Step 3: Cross multiply
    12,641.43x = 18,959.27 × 3,408.15
  4. Step 4: Simplify right side
    12,641.43x = 64,616,019.01
  5. Step 5: Solve for x
    x = 64,616,019.01/12,641.43
  6. Step 6: Final answer
    x = 5,111.45

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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.