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Finding the Fourth Proportional to 24,256.27, 36,378.93 and 6,727.46

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Solution

The fourth proportional to 24,256.27, 36,378.93 and 6,727.46 is: 10,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.27 : 36,378.93 = 6,727.46 : x
  2. Step 2: Convert to fraction form
    24,256.27/36,378.93 = 6,727.46/x
  3. Step 3: Cross multiply
    24,256.27x = 36,378.93 × 6,727.46
  4. Step 4: Simplify right side
    24,256.27x = 244,737,887.37
  5. Step 5: Solve for x
    x = 244,737,887.37/24,256.27
  6. Step 6: Final answer
    x = 10,089.68

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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.