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Finding the Fourth Proportional to 14,379.81, 19,844.13 and 8,092.17

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Solution

The fourth proportional to 14,379.81, 19,844.13 and 8,092.17 is: 11,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379.81 : 19,844.13 = 8,092.17 : x
  2. Step 2: Convert to fraction form
    14,379.81/19,844.13 = 8,092.17/x
  3. Step 3: Cross multiply
    14,379.81x = 19,844.13 × 8,092.17
  4. Step 4: Simplify right side
    14,379.81x = 160,582,073.46
  5. Step 5: Solve for x
    x = 160,582,073.46/14,379.81
  6. Step 6: Final answer
    x = 11,167.19

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1.5x scale

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.