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Finding the Fourth Proportional to 24,234.44, 36,351.70 and 6,704.32

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Solution

The fourth proportional to 24,234.44, 36,351.70 and 6,704.32 is: 10,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.44 : 36,351.70 = 6,704.32 : x
  2. Step 2: Convert to fraction form
    24,234.44/36,351.70 = 6,704.32/x
  3. Step 3: Cross multiply
    24,234.44x = 36,351.70 × 6,704.32
  4. Step 4: Simplify right side
    24,234.44x = 243,713,429.34
  5. Step 5: Solve for x
    x = 243,713,429.34/24,234.44
  6. Step 6: Final answer
    x = 10,056.49

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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.