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Finding the Fourth Proportional to 19,801.70, 29,688.15 and 8,108.90

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Solution

The fourth proportional to 19,801.70, 29,688.15 and 8,108.90 is: 12,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.70 : 29,688.15 = 8,108.90 : x
  2. Step 2: Convert to fraction form
    19,801.70/29,688.15 = 8,108.90/x
  3. Step 3: Cross multiply
    19,801.70x = 29,688.15 × 8,108.90
  4. Step 4: Simplify right side
    19,801.70x = 240,738,239.54
  5. Step 5: Solve for x
    x = 240,738,239.54/19,801.70
  6. Step 6: Final answer
    x = 12,157.45

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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.