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Finding the Fourth Proportional to 15,085.62, 20,832.17 and 9,717.39

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Solution

The fourth proportional to 15,085.62, 20,832.17 and 9,717.39 is: 13,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085.62 : 20,832.17 = 9,717.39 : x
  2. Step 2: Convert to fraction form
    15,085.62/20,832.17 = 9,717.39/x
  3. Step 3: Cross multiply
    15,085.62x = 20,832.17 × 9,717.39
  4. Step 4: Simplify right side
    15,085.62x = 202,434,271.85
  5. Step 5: Solve for x
    x = 202,434,271.85/15,085.62
  6. Step 6: Final answer
    x = 13,419.02

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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.