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Finding the Fourth Proportional to 16,244.36, 24,368.64 and 5,713.64

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Solution

The fourth proportional to 16,244.36, 24,368.64 and 5,713.64 is: 8,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.36 : 24,368.64 = 5,713.64 : x
  2. Step 2: Convert to fraction form
    16,244.36/24,368.64 = 5,713.64/x
  3. Step 3: Cross multiply
    16,244.36x = 24,368.64 × 5,713.64
  4. Step 4: Simplify right side
    16,244.36x = 139,233,636.25
  5. Step 5: Solve for x
    x = 139,233,636.25/16,244.36
  6. Step 6: Final answer
    x = 8,571.20

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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.