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Finding the Fourth Proportional to 17,538.53, 26,292.14 and 7,669.99

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Solution

The fourth proportional to 17,538.53, 26,292.14 and 7,669.99 is: 11,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.53 : 26,292.14 = 7,669.99 : x
  2. Step 2: Convert to fraction form
    17,538.53/26,292.14 = 7,669.99/x
  3. Step 3: Cross multiply
    17,538.53x = 26,292.14 × 7,669.99
  4. Step 4: Simplify right side
    17,538.53x = 201,660,517.30
  5. Step 5: Solve for x
    x = 201,660,517.30/17,538.53
  6. Step 6: Final answer
    x = 11,498.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.