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Finding the Fourth Proportional to 24,155.88, 36,231.39 and 7,516.50

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Solution

The fourth proportional to 24,155.88, 36,231.39 and 7,516.50 is: 11,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,155.88 : 36,231.39 = 7,516.50 : x
  2. Step 2: Convert to fraction form
    24,155.88/36,231.39 = 7,516.50/x
  3. Step 3: Cross multiply
    24,155.88x = 36,231.39 × 7,516.50
  4. Step 4: Simplify right side
    24,155.88x = 272,333,242.94
  5. Step 5: Solve for x
    x = 272,333,242.94/24,155.88
  6. Step 6: Final answer
    x = 11,273.99

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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.