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Finding the Fourth Proportional to 14,379.88, 19,844.16 and 8,092.24

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Solution

The fourth proportional to 14,379.88, 19,844.16 and 8,092.24 is: 11,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379.88 : 19,844.16 = 8,092.24 : x
  2. Step 2: Convert to fraction form
    14,379.88/19,844.16 = 8,092.24/x
  3. Step 3: Cross multiply
    14,379.88x = 19,844.16 × 8,092.24
  4. Step 4: Simplify right side
    14,379.88x = 160,583,705.32
  5. Step 5: Solve for x
    x = 160,583,705.32/14,379.88
  6. Step 6: Final answer
    x = 11,167.25

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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.