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Finding the Fourth Proportional to 16,490.81, 22,760.24 and 12,505.20

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Solution

The fourth proportional to 16,490.81, 22,760.24 and 12,505.20 is: 17,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.81 : 22,760.24 = 12,505.20 : x
  2. Step 2: Convert to fraction form
    16,490.81/22,760.24 = 12,505.20/x
  3. Step 3: Cross multiply
    16,490.81x = 22,760.24 × 12,505.20
  4. Step 4: Simplify right side
    16,490.81x = 284,621,353.25
  5. Step 5: Solve for x
    x = 284,621,353.25/16,490.81
  6. Step 6: Final answer
    x = 17,259.39

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Why These Related Problems?

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