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Finding the Fourth Proportional to 17,302.88, 25,949.50 and 6,770.76

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Solution

The fourth proportional to 17,302.88, 25,949.50 and 6,770.76 is: 10,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.88 : 25,949.50 = 6,770.76 : x
  2. Step 2: Convert to fraction form
    17,302.88/25,949.50 = 6,770.76/x
  3. Step 3: Cross multiply
    17,302.88x = 25,949.50 × 6,770.76
  4. Step 4: Simplify right side
    17,302.88x = 175,697,722.38
  5. Step 5: Solve for x
    x = 175,697,722.38/17,302.88
  6. Step 6: Final answer
    x = 10,154.25

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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.