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Finding the Fourth Proportional to 24,475.77, 36,714.60 and 7,836.48

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Solution

The fourth proportional to 24,475.77, 36,714.60 and 7,836.48 is: 11,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.77 : 36,714.60 = 7,836.48 : x
  2. Step 2: Convert to fraction form
    24,475.77/36,714.60 = 7,836.48/x
  3. Step 3: Cross multiply
    24,475.77x = 36,714.60 × 7,836.48
  4. Step 4: Simplify right side
    24,475.77x = 287,713,228.61
  5. Step 5: Solve for x
    x = 287,713,228.61/24,475.77
  6. Step 6: Final answer
    x = 11,755.02

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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.