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Finding the Fourth Proportional to 16,303.25, 24,452.83 and 5,209.02

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Solution

The fourth proportional to 16,303.25, 24,452.83 and 5,209.02 is: 7,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.25 : 24,452.83 = 5,209.02 : x
  2. Step 2: Convert to fraction form
    16,303.25/24,452.83 = 5,209.02/x
  3. Step 3: Cross multiply
    16,303.25x = 24,452.83 × 5,209.02
  4. Step 4: Simplify right side
    16,303.25x = 127,375,132.22
  5. Step 5: Solve for x
    x = 127,375,132.22/16,303.25
  6. Step 6: Final answer
    x = 7,812.87

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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.