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Finding the Fourth Proportional to 14,408.44, 21,593.82 and 7,382.50

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Solution

The fourth proportional to 14,408.44, 21,593.82 and 7,382.50 is: 11,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.44 : 21,593.82 = 7,382.50 : x
  2. Step 2: Convert to fraction form
    14,408.44/21,593.82 = 7,382.50/x
  3. Step 3: Cross multiply
    14,408.44x = 21,593.82 × 7,382.50
  4. Step 4: Simplify right side
    14,408.44x = 159,416,349.85
  5. Step 5: Solve for x
    x = 159,416,349.85/14,408.44
  6. Step 6: Final answer
    x = 11,064.10

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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.