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Finding the Fourth Proportional to 24,362.10, 36,543.24 and 8,780.94

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Solution

The fourth proportional to 24,362.10, 36,543.24 and 8,780.94 is: 13,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.10 : 36,543.24 = 8,780.94 : x
  2. Step 2: Convert to fraction form
    24,362.10/36,543.24 = 8,780.94/x
  3. Step 3: Cross multiply
    24,362.10x = 36,543.24 × 8,780.94
  4. Step 4: Simplify right side
    24,362.10x = 320,883,997.85
  5. Step 5: Solve for x
    x = 320,883,997.85/24,362.10
  6. Step 6: Final answer
    x = 13,171.44

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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.