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Finding the Fourth Proportional to 17,287.30, 23,855.52 and 9,734.02

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Solution

The fourth proportional to 17,287.30, 23,855.52 and 9,734.02 is: 13,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.30 : 23,855.52 = 9,734.02 : x
  2. Step 2: Convert to fraction form
    17,287.30/23,855.52 = 9,734.02/x
  3. Step 3: Cross multiply
    17,287.30x = 23,855.52 × 9,734.02
  4. Step 4: Simplify right side
    17,287.30x = 232,210,108.79
  5. Step 5: Solve for x
    x = 232,210,108.79/17,287.30
  6. Step 6: Final answer
    x = 13,432.41

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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.