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Finding the Fourth Proportional to 19,753.27, 29,629.93 and 8,066.49

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Solution

The fourth proportional to 19,753.27, 29,629.93 and 8,066.49 is: 12,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.27 : 29,629.93 = 8,066.49 : x
  2. Step 2: Convert to fraction form
    19,753.27/29,629.93 = 8,066.49/x
  3. Step 3: Cross multiply
    19,753.27x = 29,629.93 × 8,066.49
  4. Step 4: Simplify right side
    19,753.27x = 239,009,385.90
  5. Step 5: Solve for x
    x = 239,009,385.90/19,753.27
  6. Step 6: Final answer
    x = 12,099.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.