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Finding the Fourth Proportional to 16,290.56, 24,430.72 and 5,344

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Solution

The fourth proportional to 16,290.56, 24,430.72 and 5,344 is: 8,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.56 : 24,430.72 = 5,344 : x
  2. Step 2: Convert to fraction form
    16,290.56/24,430.72 = 5,344/x
  3. Step 3: Cross multiply
    16,290.56x = 24,430.72 × 5,344
  4. Step 4: Simplify right side
    16,290.56x = 130,557,767.68
  5. Step 5: Solve for x
    x = 130,557,767.68/16,290.56
  6. Step 6: Final answer
    x = 8,014.32

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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.