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Finding the Fourth Proportional to 23,339.68, 32,208 and 12,729.52

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Solution

The fourth proportional to 23,339.68, 32,208 and 12,729.52 is: 17,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.68 : 32,208 = 12,729.52 : x
  2. Step 2: Convert to fraction form
    23,339.68/32,208 = 12,729.52/x
  3. Step 3: Cross multiply
    23,339.68x = 32,208 × 12,729.52
  4. Step 4: Simplify right side
    23,339.68x = 409,992,380.16
  5. Step 5: Solve for x
    x = 409,992,380.16/23,339.68
  6. Step 6: Final answer
    x = 17,566.32

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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.