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Finding the Fourth Proportional to 15,824.22, 23,729.04 and 9,252.42

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Solution

The fourth proportional to 15,824.22, 23,729.04 and 9,252.42 is: 13,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.22 : 23,729.04 = 9,252.42 : x
  2. Step 2: Convert to fraction form
    15,824.22/23,729.04 = 9,252.42/x
  3. Step 3: Cross multiply
    15,824.22x = 23,729.04 × 9,252.42
  4. Step 4: Simplify right side
    15,824.22x = 219,551,044.28
  5. Step 5: Solve for x
    x = 219,551,044.28/15,824.22
  6. Step 6: Final answer
    x = 13,874.37

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1.5x scale

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.