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Finding the Fourth Proportional to 24,316.63, 36,469.69 and 7,677.96

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Solution

The fourth proportional to 24,316.63, 36,469.69 and 7,677.96 is: 11,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.63 : 36,469.69 = 7,677.96 : x
  2. Step 2: Convert to fraction form
    24,316.63/36,469.69 = 7,677.96/x
  3. Step 3: Cross multiply
    24,316.63x = 36,469.69 × 7,677.96
  4. Step 4: Simplify right side
    24,316.63x = 280,012,821.03
  5. Step 5: Solve for x
    x = 280,012,821.03/24,316.63
  6. Step 6: Final answer
    x = 11,515.28

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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.