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Finding the Fourth Proportional to 16,301.60, 24,452.40 and 6,435.80

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Solution

The fourth proportional to 16,301.60, 24,452.40 and 6,435.80 is: 9,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.60 : 24,452.40 = 6,435.80 : x
  2. Step 2: Convert to fraction form
    16,301.60/24,452.40 = 6,435.80/x
  3. Step 3: Cross multiply
    16,301.60x = 24,452.40 × 6,435.80
  4. Step 4: Simplify right side
    16,301.60x = 157,370,755.92
  5. Step 5: Solve for x
    x = 157,370,755.92/16,301.60
  6. Step 6: Final answer
    x = 9,653.70

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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.