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Finding the Fourth Proportional to 14,132.32, 21,199.52 and 3,744

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Solution

The fourth proportional to 14,132.32, 21,199.52 and 3,744 is: 5,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.32 : 21,199.52 = 3,744 : x
  2. Step 2: Convert to fraction form
    14,132.32/21,199.52 = 3,744/x
  3. Step 3: Cross multiply
    14,132.32x = 21,199.52 × 3,744
  4. Step 4: Simplify right side
    14,132.32x = 79,371,002.88
  5. Step 5: Solve for x
    x = 79,371,002.88/14,132.32
  6. Step 6: Final answer
    x = 5,616.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.