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Finding the Fourth Proportional to 24,468.69, 36,705.47 and 7,824.54

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Solution

The fourth proportional to 24,468.69, 36,705.47 and 7,824.54 is: 11,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.69 : 36,705.47 = 7,824.54 : x
  2. Step 2: Convert to fraction form
    24,468.69/36,705.47 = 7,824.54/x
  3. Step 3: Cross multiply
    24,468.69x = 36,705.47 × 7,824.54
  4. Step 4: Simplify right side
    24,468.69x = 287,203,379.11
  5. Step 5: Solve for x
    x = 287,203,379.11/24,468.69
  6. Step 6: Final answer
    x = 11,737.59

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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.