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Finding the Fourth Proportional to 34,175.84, 51,264.10 and 11,989.76

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Solution

The fourth proportional to 34,175.84, 51,264.10 and 11,989.76 is: 17,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,175.84 : 51,264.10 = 11,989.76 : x
  2. Step 2: Convert to fraction form
    34,175.84/51,264.10 = 11,989.76/x
  3. Step 3: Cross multiply
    34,175.84x = 51,264.10 × 11,989.76
  4. Step 4: Simplify right side
    34,175.84x = 614,644,255.62
  5. Step 5: Solve for x
    x = 614,644,255.62/34,175.84
  6. Step 6: Final answer
    x = 17,984.76

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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.