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Finding the Fourth Proportional to 16,290.57, 24,437.22 and 5,198.84

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Solution

The fourth proportional to 16,290.57, 24,437.22 and 5,198.84 is: 7,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.57 : 24,437.22 = 5,198.84 : x
  2. Step 2: Convert to fraction form
    16,290.57/24,437.22 = 5,198.84/x
  3. Step 3: Cross multiply
    16,290.57x = 24,437.22 × 5,198.84
  4. Step 4: Simplify right side
    16,290.57x = 127,045,074.64
  5. Step 5: Solve for x
    x = 127,045,074.64/16,290.57
  6. Step 6: Final answer
    x = 7,798.69

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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.