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Finding the Fourth Proportional to 17,507.30, 26,262.58 and 6,974.78

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Solution

The fourth proportional to 17,507.30, 26,262.58 and 6,974.78 is: 10,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.30 : 26,262.58 = 6,974.78 : x
  2. Step 2: Convert to fraction form
    17,507.30/26,262.58 = 6,974.78/x
  3. Step 3: Cross multiply
    17,507.30x = 26,262.58 × 6,974.78
  4. Step 4: Simplify right side
    17,507.30x = 183,175,717.73
  5. Step 5: Solve for x
    x = 183,175,717.73/17,507.30
  6. Step 6: Final answer
    x = 10,462.82

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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.