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Finding the Fourth Proportional to 19,856.10, 29,777.54 and 8,006.81

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Solution

The fourth proportional to 19,856.10, 29,777.54 and 8,006.81 is: 12,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.10 : 29,777.54 = 8,006.81 : x
  2. Step 2: Convert to fraction form
    19,856.10/29,777.54 = 8,006.81/x
  3. Step 3: Cross multiply
    19,856.10x = 29,777.54 × 8,006.81
  4. Step 4: Simplify right side
    19,856.10x = 238,423,105.05
  5. Step 5: Solve for x
    x = 238,423,105.05/19,856.10
  6. Step 6: Final answer
    x = 12,007.55

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