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Finding the Fourth Proportional to 24,015, 36,028.26 and 7,599

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Solution

The fourth proportional to 24,015, 36,028.26 and 7,599 is: 11,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015 : 36,028.26 = 7,599 : x
  2. Step 2: Convert to fraction form
    24,015/36,028.26 = 7,599/x
  3. Step 3: Cross multiply
    24,015x = 36,028.26 × 7,599
  4. Step 4: Simplify right side
    24,015x = 273,778,747.74
  5. Step 5: Solve for x
    x = 273,778,747.74/24,015
  6. Step 6: Final answer
    x = 11,400.32

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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.