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Finding the Fourth Proportional to 24,661.69, 36,996.11 and 7,788.98

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Solution

The fourth proportional to 24,661.69, 36,996.11 and 7,788.98 is: 11,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661.69 : 36,996.11 = 7,788.98 : x
  2. Step 2: Convert to fraction form
    24,661.69/36,996.11 = 7,788.98/x
  3. Step 3: Cross multiply
    24,661.69x = 36,996.11 × 7,788.98
  4. Step 4: Simplify right side
    24,661.69x = 288,161,960.87
  5. Step 5: Solve for x
    x = 288,161,960.87/24,661.69
  6. Step 6: Final answer
    x = 11,684.60

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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.