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Finding the Fourth Proportional to 17,197.92, 25,780.68 and 9,396

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Solution

The fourth proportional to 17,197.92, 25,780.68 and 9,396 is: 14,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.92 : 25,780.68 = 9,396 : x
  2. Step 2: Convert to fraction form
    17,197.92/25,780.68 = 9,396/x
  3. Step 3: Cross multiply
    17,197.92x = 25,780.68 × 9,396
  4. Step 4: Simplify right side
    17,197.92x = 242,235,269.28
  5. Step 5: Solve for x
    x = 242,235,269.28/17,197.92
  6. Step 6: Final answer
    x = 14,085.15

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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.