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Finding the Fourth Proportional to 23,863.30, 32,929.95 and 13,252.30

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Solution

The fourth proportional to 23,863.30, 32,929.95 and 13,252.30 is: 18,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.30 : 32,929.95 = 13,252.30 : x
  2. Step 2: Convert to fraction form
    23,863.30/32,929.95 = 13,252.30/x
  3. Step 3: Cross multiply
    23,863.30x = 32,929.95 × 13,252.30
  4. Step 4: Simplify right side
    23,863.30x = 436,397,576.39
  5. Step 5: Solve for x
    x = 436,397,576.39/23,863.30
  6. Step 6: Final answer
    x = 18,287.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.