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Finding the Fourth Proportional to 16,283.74, 24,409.20 and 6,419.20

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Solution

The fourth proportional to 16,283.74, 24,409.20 and 6,419.20 is: 9,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.74 : 24,409.20 = 6,419.20 : x
  2. Step 2: Convert to fraction form
    16,283.74/24,409.20 = 6,419.20/x
  3. Step 3: Cross multiply
    16,283.74x = 24,409.20 × 6,419.20
  4. Step 4: Simplify right side
    16,283.74x = 156,687,536.64
  5. Step 5: Solve for x
    x = 156,687,536.64/16,283.74
  6. Step 6: Final answer
    x = 9,622.33

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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.