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Finding the Fourth Proportional to 19,753.77, 29,630.68 and 8,066.99

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Solution

The fourth proportional to 19,753.77, 29,630.68 and 8,066.99 is: 12,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.77 : 29,630.68 = 8,066.99 : x
  2. Step 2: Convert to fraction form
    19,753.77/29,630.68 = 8,066.99/x
  3. Step 3: Cross multiply
    19,753.77x = 29,630.68 × 8,066.99
  4. Step 4: Simplify right side
    19,753.77x = 239,030,399.25
  5. Step 5: Solve for x
    x = 239,030,399.25/19,753.77
  6. Step 6: Final answer
    x = 12,100.50

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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.