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Finding the Fourth Proportional to 23,688.70, 35,523.45 and 8,098.30

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Solution

The fourth proportional to 23,688.70, 35,523.45 and 8,098.30 is: 12,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.70 : 35,523.45 = 8,098.30 : x
  2. Step 2: Convert to fraction form
    23,688.70/35,523.45 = 8,098.30/x
  3. Step 3: Cross multiply
    23,688.70x = 35,523.45 × 8,098.30
  4. Step 4: Simplify right side
    23,688.70x = 287,679,555.14
  5. Step 5: Solve for x
    x = 287,679,555.14/23,688.70
  6. Step 6: Final answer
    x = 12,144.17

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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.