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Finding the Fourth Proportional to 24,473.44, 36,712.59 and 7,829.29

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Solution

The fourth proportional to 24,473.44, 36,712.59 and 7,829.29 is: 11,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.44 : 36,712.59 = 7,829.29 : x
  2. Step 2: Convert to fraction form
    24,473.44/36,712.59 = 7,829.29/x
  3. Step 3: Cross multiply
    24,473.44x = 36,712.59 × 7,829.29
  4. Step 4: Simplify right side
    24,473.44x = 287,433,513.76
  5. Step 5: Solve for x
    x = 287,433,513.76/24,473.44
  6. Step 6: Final answer
    x = 11,744.71

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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.