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Finding the Fourth Proportional to 24,496.27, 36,740.46 and 6,722.77

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Solution

The fourth proportional to 24,496.27, 36,740.46 and 6,722.77 is: 10,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.27 : 36,740.46 = 6,722.77 : x
  2. Step 2: Convert to fraction form
    24,496.27/36,740.46 = 6,722.77/x
  3. Step 3: Cross multiply
    24,496.27x = 36,740.46 × 6,722.77
  4. Step 4: Simplify right side
    24,496.27x = 246,997,754.13
  5. Step 5: Solve for x
    x = 246,997,754.13/24,496.27
  6. Step 6: Final answer
    x = 10,083.08

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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.