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Finding the Fourth Proportional to 24,731.66, 37,099.19 and 9,940.59

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Solution

The fourth proportional to 24,731.66, 37,099.19 and 9,940.59 is: 14,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.66 : 37,099.19 = 9,940.59 : x
  2. Step 2: Convert to fraction form
    24,731.66/37,099.19 = 9,940.59/x
  3. Step 3: Cross multiply
    24,731.66x = 37,099.19 × 9,940.59
  4. Step 4: Simplify right side
    24,731.66x = 368,787,837.12
  5. Step 5: Solve for x
    x = 368,787,837.12/24,731.66
  6. Step 6: Final answer
    x = 14,911.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.