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Finding the Fourth Proportional to 14,143.41, 19,517.13 and 7,855.38

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Solution

The fourth proportional to 14,143.41, 19,517.13 and 7,855.38 is: 10,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.41 : 19,517.13 = 7,855.38 : x
  2. Step 2: Convert to fraction form
    14,143.41/19,517.13 = 7,855.38/x
  3. Step 3: Cross multiply
    14,143.41x = 19,517.13 × 7,855.38
  4. Step 4: Simplify right side
    14,143.41x = 153,314,472.66
  5. Step 5: Solve for x
    x = 153,314,472.66/14,143.41
  6. Step 6: Final answer
    x = 10,839.99

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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.