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Finding the Fourth Proportional to 16,238.02, 22,406.06 and 9,861.28

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Solution

The fourth proportional to 16,238.02, 22,406.06 and 9,861.28 is: 13,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.02 : 22,406.06 = 9,861.28 : x
  2. Step 2: Convert to fraction form
    16,238.02/22,406.06 = 9,861.28/x
  3. Step 3: Cross multiply
    16,238.02x = 22,406.06 × 9,861.28
  4. Step 4: Simplify right side
    16,238.02x = 220,952,431.36
  5. Step 5: Solve for x
    x = 220,952,431.36/16,238.02
  6. Step 6: Final answer
    x = 13,607.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.