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Finding the Fourth Proportional to 17,745.53, 24,463.38 and 13,962.17

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Solution

The fourth proportional to 17,745.53, 24,463.38 and 13,962.17 is: 19,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.53 : 24,463.38 = 13,962.17 : x
  2. Step 2: Convert to fraction form
    17,745.53/24,463.38 = 13,962.17/x
  3. Step 3: Cross multiply
    17,745.53x = 24,463.38 × 13,962.17
  4. Step 4: Simplify right side
    17,745.53x = 341,561,870.33
  5. Step 5: Solve for x
    x = 341,561,870.33/17,745.53
  6. Step 6: Final answer
    x = 19,247.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.