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Finding the Fourth Proportional to 19,913.70, 29,856.15 and 8,220.90

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Solution

The fourth proportional to 19,913.70, 29,856.15 and 8,220.90 is: 12,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.70 : 29,856.15 = 8,220.90 : x
  2. Step 2: Convert to fraction form
    19,913.70/29,856.15 = 8,220.90/x
  3. Step 3: Cross multiply
    19,913.70x = 29,856.15 × 8,220.90
  4. Step 4: Simplify right side
    19,913.70x = 245,444,423.54
  5. Step 5: Solve for x
    x = 245,444,423.54/19,913.70
  6. Step 6: Final answer
    x = 12,325.41

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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.