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Finding the Fourth Proportional to 19,883.01, 29,802.64 and 8,189.85

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Solution

The fourth proportional to 19,883.01, 29,802.64 and 8,189.85 is: 12,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.01 : 29,802.64 = 8,189.85 : x
  2. Step 2: Convert to fraction form
    19,883.01/29,802.64 = 8,189.85/x
  3. Step 3: Cross multiply
    19,883.01x = 29,802.64 × 8,189.85
  4. Step 4: Simplify right side
    19,883.01x = 244,079,018.97
  5. Step 5: Solve for x
    x = 244,079,018.97/19,883.01
  6. Step 6: Final answer
    x = 12,275.76

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1.5x scale

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.