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Finding the Fourth Proportional to 24,049, 36,007.64 and 19,900.96

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Solution

The fourth proportional to 24,049, 36,007.64 and 19,900.96 is: 29,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049 : 36,007.64 = 19,900.96 : x
  2. Step 2: Convert to fraction form
    24,049/36,007.64 = 19,900.96/x
  3. Step 3: Cross multiply
    24,049x = 36,007.64 × 19,900.96
  4. Step 4: Simplify right side
    24,049x = 716,586,603.33
  5. Step 5: Solve for x
    x = 716,586,603.33/24,049
  6. Step 6: Final answer
    x = 29,796.94

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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.