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Finding the Fourth Proportional to 14,249.40, 21,382.16 and 7,675.44

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Solution

The fourth proportional to 14,249.40, 21,382.16 and 7,675.44 is: 11,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.40 : 21,382.16 = 7,675.44 : x
  2. Step 2: Convert to fraction form
    14,249.40/21,382.16 = 7,675.44/x
  3. Step 3: Cross multiply
    14,249.40x = 21,382.16 × 7,675.44
  4. Step 4: Simplify right side
    14,249.40x = 164,117,486.15
  5. Step 5: Solve for x
    x = 164,117,486.15/14,249.40
  6. Step 6: Final answer
    x = 11,517.50

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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.