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Finding the Fourth Proportional to 24,464.03, 36,698.09 and 7,826.45

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Solution

The fourth proportional to 24,464.03, 36,698.09 and 7,826.45 is: 11,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.03 : 36,698.09 = 7,826.45 : x
  2. Step 2: Convert to fraction form
    24,464.03/36,698.09 = 7,826.45/x
  3. Step 3: Cross multiply
    24,464.03x = 36,698.09 × 7,826.45
  4. Step 4: Simplify right side
    24,464.03x = 287,215,543.86
  5. Step 5: Solve for x
    x = 287,215,543.86/24,464.03
  6. Step 6: Final answer
    x = 11,740.32

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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.