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Finding the Fourth Proportional to 24,920.49, 37,381.41 and 6,199.77

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Solution

The fourth proportional to 24,920.49, 37,381.41 and 6,199.77 is: 9,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920.49 : 37,381.41 = 6,199.77 : x
  2. Step 2: Convert to fraction form
    24,920.49/37,381.41 = 6,199.77/x
  3. Step 3: Cross multiply
    24,920.49x = 37,381.41 × 6,199.77
  4. Step 4: Simplify right side
    24,920.49x = 231,756,144.28
  5. Step 5: Solve for x
    x = 231,756,144.28/24,920.49
  6. Step 6: Final answer
    x = 9,299.82

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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.