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Finding the Fourth Proportional to 24,464.60, 36,699.60 and 7,821.80

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Solution

The fourth proportional to 24,464.60, 36,699.60 and 7,821.80 is: 11,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.60 : 36,699.60 = 7,821.80 : x
  2. Step 2: Convert to fraction form
    24,464.60/36,699.60 = 7,821.80/x
  3. Step 3: Cross multiply
    24,464.60x = 36,699.60 × 7,821.80
  4. Step 4: Simplify right side
    24,464.60x = 287,056,931.28
  5. Step 5: Solve for x
    x = 287,056,931.28/24,464.60
  6. Step 6: Final answer
    x = 11,733.56

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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.