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Finding the Fourth Proportional to 16,284.60, 24,433.98 and 6,431.08

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Solution

The fourth proportional to 16,284.60, 24,433.98 and 6,431.08 is: 9,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.60 : 24,433.98 = 6,431.08 : x
  2. Step 2: Convert to fraction form
    16,284.60/24,433.98 = 6,431.08/x
  3. Step 3: Cross multiply
    16,284.60x = 24,433.98 × 6,431.08
  4. Step 4: Simplify right side
    16,284.60x = 157,136,880.10
  5. Step 5: Solve for x
    x = 157,136,880.10/16,284.60
  6. Step 6: Final answer
    x = 9,649.42

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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.