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Finding the Fourth Proportional to 17,507.19, 26,265.47 and 7,647.27

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Solution

The fourth proportional to 17,507.19, 26,265.47 and 7,647.27 is: 11,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.19 : 26,265.47 = 7,647.27 : x
  2. Step 2: Convert to fraction form
    17,507.19/26,265.47 = 7,647.27/x
  3. Step 3: Cross multiply
    17,507.19x = 26,265.47 × 7,647.27
  4. Step 4: Simplify right side
    17,507.19x = 200,859,102.53
  5. Step 5: Solve for x
    x = 200,859,102.53/17,507.19
  6. Step 6: Final answer
    x = 11,472.95

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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.