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Finding the Fourth Proportional to 16,399.52, 22,640.70 and 10,820.24

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Solution

The fourth proportional to 16,399.52, 22,640.70 and 10,820.24 is: 14,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.52 : 22,640.70 = 10,820.24 : x
  2. Step 2: Convert to fraction form
    16,399.52/22,640.70 = 10,820.24/x
  3. Step 3: Cross multiply
    16,399.52x = 22,640.70 × 10,820.24
  4. Step 4: Simplify right side
    16,399.52x = 244,977,807.77
  5. Step 5: Solve for x
    x = 244,977,807.77/16,399.52
  6. Step 6: Final answer
    x = 14,938.11

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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.