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Finding the Fourth Proportional to 16,266.64, 22,439.72 and 10,288.24

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Solution

The fourth proportional to 16,266.64, 22,439.72 and 10,288.24 is: 14,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.64 : 22,439.72 = 10,288.24 : x
  2. Step 2: Convert to fraction form
    16,266.64/22,439.72 = 10,288.24/x
  3. Step 3: Cross multiply
    16,266.64x = 22,439.72 × 10,288.24
  4. Step 4: Simplify right side
    16,266.64x = 230,865,224.89
  5. Step 5: Solve for x
    x = 230,865,224.89/16,266.64
  6. Step 6: Final answer
    x = 14,192.56

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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.