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Finding the Fourth Proportional to 16,122.49, 22,250.24 and 9,749.32

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Solution

The fourth proportional to 16,122.49, 22,250.24 and 9,749.32 is: 13,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.49 : 22,250.24 = 9,749.32 : x
  2. Step 2: Convert to fraction form
    16,122.49/22,250.24 = 9,749.32/x
  3. Step 3: Cross multiply
    16,122.49x = 22,250.24 × 9,749.32
  4. Step 4: Simplify right side
    16,122.49x = 216,924,642.02
  5. Step 5: Solve for x
    x = 216,924,642.02/16,122.49
  6. Step 6: Final answer
    x = 13,454.79

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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.