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Finding the Fourth Proportional to 12,284.78, 18,424.05 and 3,517.34

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Solution

The fourth proportional to 12,284.78, 18,424.05 and 3,517.34 is: 5,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.78 : 18,424.05 = 3,517.34 : x
  2. Step 2: Convert to fraction form
    12,284.78/18,424.05 = 3,517.34/x
  3. Step 3: Cross multiply
    12,284.78x = 18,424.05 × 3,517.34
  4. Step 4: Simplify right side
    12,284.78x = 64,803,648.03
  5. Step 5: Solve for x
    x = 64,803,648.03/12,284.78
  6. Step 6: Final answer
    x = 5,275.12

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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.