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Finding the Fourth Proportional to 24,399.86, 36,573.86 and 9,606.74

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Solution

The fourth proportional to 24,399.86, 36,573.86 and 9,606.74 is: 14,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.86 : 36,573.86 = 9,606.74 : x
  2. Step 2: Convert to fraction form
    24,399.86/36,573.86 = 9,606.74/x
  3. Step 3: Cross multiply
    24,399.86x = 36,573.86 × 9,606.74
  4. Step 4: Simplify right side
    24,399.86x = 351,355,404.96
  5. Step 5: Solve for x
    x = 351,355,404.96/24,399.86
  6. Step 6: Final answer
    x = 14,399.90

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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.