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Finding the Fourth Proportional to 24,464.53, 36,699.10 and 7,820.61

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Solution

The fourth proportional to 24,464.53, 36,699.10 and 7,820.61 is: 11,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.53 : 36,699.10 = 7,820.61 : x
  2. Step 2: Convert to fraction form
    24,464.53/36,699.10 = 7,820.61/x
  3. Step 3: Cross multiply
    24,464.53x = 36,699.10 × 7,820.61
  4. Step 4: Simplify right side
    24,464.53x = 287,009,348.45
  5. Step 5: Solve for x
    x = 287,009,348.45/24,464.53
  6. Step 6: Final answer
    x = 11,731.65

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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.