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Finding the Fourth Proportional to 16,247.64, 24,352.02 and 9,997.68

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Solution

The fourth proportional to 16,247.64, 24,352.02 and 9,997.68 is: 14,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247.64 : 24,352.02 = 9,997.68 : x
  2. Step 2: Convert to fraction form
    16,247.64/24,352.02 = 9,997.68/x
  3. Step 3: Cross multiply
    16,247.64x = 24,352.02 × 9,997.68
  4. Step 4: Simplify right side
    16,247.64x = 243,463,703.31
  5. Step 5: Solve for x
    x = 243,463,703.31/16,247.64
  6. Step 6: Final answer
    x = 14,984.56

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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.