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Finding the Fourth Proportional to 16,291.56, 24,437.04 and 5,198.16

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Solution

The fourth proportional to 16,291.56, 24,437.04 and 5,198.16 is: 7,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.56 : 24,437.04 = 5,198.16 : x
  2. Step 2: Convert to fraction form
    16,291.56/24,437.04 = 5,198.16/x
  3. Step 3: Cross multiply
    16,291.56x = 24,437.04 × 5,198.16
  4. Step 4: Simplify right side
    16,291.56x = 127,027,643.85
  5. Step 5: Solve for x
    x = 127,027,643.85/16,291.56
  6. Step 6: Final answer
    x = 7,797.14

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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.