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Finding the Fourth Proportional to 17,197.20, 25,803.92 and 9,405.76

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Solution

The fourth proportional to 17,197.20, 25,803.92 and 9,405.76 is: 14,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.20 : 25,803.92 = 9,405.76 : x
  2. Step 2: Convert to fraction form
    17,197.20/25,803.92 = 9,405.76/x
  3. Step 3: Cross multiply
    17,197.20x = 25,803.92 × 9,405.76
  4. Step 4: Simplify right side
    17,197.20x = 242,705,478.58
  5. Step 5: Solve for x
    x = 242,705,478.58/17,197.20
  6. Step 6: Final answer
    x = 14,113.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.