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Finding the Fourth Proportional to 24,733.66, 37,102.19 and 9,942.59

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Solution

The fourth proportional to 24,733.66, 37,102.19 and 9,942.59 is: 14,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.66 : 37,102.19 = 9,942.59 : x
  2. Step 2: Convert to fraction form
    24,733.66/37,102.19 = 9,942.59/x
  3. Step 3: Cross multiply
    24,733.66x = 37,102.19 × 9,942.59
  4. Step 4: Simplify right side
    24,733.66x = 368,891,863.27
  5. Step 5: Solve for x
    x = 368,891,863.27/24,733.66
  6. Step 6: Final answer
    x = 14,914.57

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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.