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Finding the Fourth Proportional to 17,142.19, 25,711.35 and 8,134.18

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Solution

The fourth proportional to 17,142.19, 25,711.35 and 8,134.18 is: 12,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.19 : 25,711.35 = 8,134.18 : x
  2. Step 2: Convert to fraction form
    17,142.19/25,711.35 = 8,134.18/x
  3. Step 3: Cross multiply
    17,142.19x = 25,711.35 × 8,134.18
  4. Step 4: Simplify right side
    17,142.19x = 209,140,748.94
  5. Step 5: Solve for x
    x = 209,140,748.94/17,142.19
  6. Step 6: Final answer
    x = 12,200.35

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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.