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Finding the Fourth Proportional to 16,300.40, 24,452.32 and 6,438.32

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Solution

The fourth proportional to 16,300.40, 24,452.32 and 6,438.32 is: 9,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.40 : 24,452.32 = 6,438.32 : x
  2. Step 2: Convert to fraction form
    16,300.40/24,452.32 = 6,438.32/x
  3. Step 3: Cross multiply
    16,300.40x = 24,452.32 × 6,438.32
  4. Step 4: Simplify right side
    16,300.40x = 157,431,860.90
  5. Step 5: Solve for x
    x = 157,431,860.90/16,300.40
  6. Step 6: Final answer
    x = 9,658.16

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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.