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Finding the Fourth Proportional to 24,422.34, 36,631.65 and 7,782.90

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Solution

The fourth proportional to 24,422.34, 36,631.65 and 7,782.90 is: 11,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.34 : 36,631.65 = 7,782.90 : x
  2. Step 2: Convert to fraction form
    24,422.34/36,631.65 = 7,782.90/x
  3. Step 3: Cross multiply
    24,422.34x = 36,631.65 × 7,782.90
  4. Step 4: Simplify right side
    24,422.34x = 285,100,468.79
  5. Step 5: Solve for x
    x = 285,100,468.79/24,422.34
  6. Step 6: Final answer
    x = 11,673.76

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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.