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Finding the Fourth Proportional to 24,335.26, 36,499.82 and 7,693.94

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Solution

The fourth proportional to 24,335.26, 36,499.82 and 7,693.94 is: 11,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.26 : 36,499.82 = 7,693.94 : x
  2. Step 2: Convert to fraction form
    24,335.26/36,499.82 = 7,693.94/x
  3. Step 3: Cross multiply
    24,335.26x = 36,499.82 × 7,693.94
  4. Step 4: Simplify right side
    24,335.26x = 280,827,477.87
  5. Step 5: Solve for x
    x = 280,827,477.87/24,335.26
  6. Step 6: Final answer
    x = 11,539.94

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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.