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Finding the Fourth Proportional to 19,913.50, 29,850.18 and 12,523.24

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Solution

The fourth proportional to 19,913.50, 29,850.18 and 12,523.24 is: 18,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.50 : 29,850.18 = 12,523.24 : x
  2. Step 2: Convert to fraction form
    19,913.50/29,850.18 = 12,523.24/x
  3. Step 3: Cross multiply
    19,913.50x = 29,850.18 × 12,523.24
  4. Step 4: Simplify right side
    19,913.50x = 373,820,968.18
  5. Step 5: Solve for x
    x = 373,820,968.18/19,913.50
  6. Step 6: Final answer
    x = 18,772.24

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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.