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Finding the Fourth Proportional to 17,972.70, 26,962.02 and 8,111.76

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Solution

The fourth proportional to 17,972.70, 26,962.02 and 8,111.76 is: 12,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.70 : 26,962.02 = 8,111.76 : x
  2. Step 2: Convert to fraction form
    17,972.70/26,962.02 = 8,111.76/x
  3. Step 3: Cross multiply
    17,972.70x = 26,962.02 × 8,111.76
  4. Step 4: Simplify right side
    17,972.70x = 218,709,435.36
  5. Step 5: Solve for x
    x = 218,709,435.36/17,972.70
  6. Step 6: Final answer
    x = 12,168.98

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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.