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Finding the Fourth Proportional to 16,259.53, 24,367.42 and 6,396.16

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Solution

The fourth proportional to 16,259.53, 24,367.42 and 6,396.16 is: 9,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.53 : 24,367.42 = 6,396.16 : x
  2. Step 2: Convert to fraction form
    16,259.53/24,367.42 = 6,396.16/x
  3. Step 3: Cross multiply
    16,259.53x = 24,367.42 × 6,396.16
  4. Step 4: Simplify right side
    16,259.53x = 155,857,917.11
  5. Step 5: Solve for x
    x = 155,857,917.11/16,259.53
  6. Step 6: Final answer
    x = 9,585.63

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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.