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Finding the Fourth Proportional to 22,816.98, 31,500.72 and 15,166.44

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Solution

The fourth proportional to 22,816.98, 31,500.72 and 15,166.44 is: 20,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.98 : 31,500.72 = 15,166.44 : x
  2. Step 2: Convert to fraction form
    22,816.98/31,500.72 = 15,166.44/x
  3. Step 3: Cross multiply
    22,816.98x = 31,500.72 × 15,166.44
  4. Step 4: Simplify right side
    22,816.98x = 477,753,779.84
  5. Step 5: Solve for x
    x = 477,753,779.84/22,816.98
  6. Step 6: Final answer
    x = 20,938.52

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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.