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Finding the Fourth Proportional to 24,002.94, 35,997.90 and 12,319.50

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Solution

The fourth proportional to 24,002.94, 35,997.90 and 12,319.50 is: 18,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.94 : 35,997.90 = 12,319.50 : x
  2. Step 2: Convert to fraction form
    24,002.94/35,997.90 = 12,319.50/x
  3. Step 3: Cross multiply
    24,002.94x = 35,997.90 × 12,319.50
  4. Step 4: Simplify right side
    24,002.94x = 443,476,129.05
  5. Step 5: Solve for x
    x = 443,476,129.05/24,002.94
  6. Step 6: Final answer
    x = 18,475.91

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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.