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Finding the Fourth Proportional to 12,348.44, 18,522.12 and 3,583.16

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Solution

The fourth proportional to 12,348.44, 18,522.12 and 3,583.16 is: 5,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.44 : 18,522.12 = 3,583.16 : x
  2. Step 2: Convert to fraction form
    12,348.44/18,522.12 = 3,583.16/x
  3. Step 3: Cross multiply
    12,348.44x = 18,522.12 × 3,583.16
  4. Step 4: Simplify right side
    12,348.44x = 66,367,719.50
  5. Step 5: Solve for x
    x = 66,367,719.50/12,348.44
  6. Step 6: Final answer
    x = 5,374.58

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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.