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Finding the Fourth Proportional to 24,733.85, 37,100.25 and 6,013.98

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Solution

The fourth proportional to 24,733.85, 37,100.25 and 6,013.98 is: 9,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.85 : 37,100.25 = 6,013.98 : x
  2. Step 2: Convert to fraction form
    24,733.85/37,100.25 = 6,013.98/x
  3. Step 3: Cross multiply
    24,733.85x = 37,100.25 × 6,013.98
  4. Step 4: Simplify right side
    24,733.85x = 223,120,161.50
  5. Step 5: Solve for x
    x = 223,120,161.50/24,733.85
  6. Step 6: Final answer
    x = 9,020.84

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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.