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Finding the Fourth Proportional to 16,302.96, 24,454.17 and 5,209.56

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Solution

The fourth proportional to 16,302.96, 24,454.17 and 5,209.56 is: 7,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.96 : 24,454.17 = 5,209.56 : x
  2. Step 2: Convert to fraction form
    16,302.96/24,454.17 = 5,209.56/x
  3. Step 3: Cross multiply
    16,302.96x = 24,454.17 × 5,209.56
  4. Step 4: Simplify right side
    16,302.96x = 127,395,465.87
  5. Step 5: Solve for x
    x = 127,395,465.87/16,302.96
  6. Step 6: Final answer
    x = 7,814.25

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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.