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Finding the Fourth Proportional to 24,548.81, 36,829.11 and 7,910.42

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Solution

The fourth proportional to 24,548.81, 36,829.11 and 7,910.42 is: 11,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.81 : 36,829.11 = 7,910.42 : x
  2. Step 2: Convert to fraction form
    24,548.81/36,829.11 = 7,910.42/x
  3. Step 3: Cross multiply
    24,548.81x = 36,829.11 × 7,910.42
  4. Step 4: Simplify right side
    24,548.81x = 291,333,728.33
  5. Step 5: Solve for x
    x = 291,333,728.33/24,548.81
  6. Step 6: Final answer
    x = 11,867.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.