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Finding the Fourth Proportional to 24,298.97, 36,448.50 and 6,768.86

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Solution

The fourth proportional to 24,298.97, 36,448.50 and 6,768.86 is: 10,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.97 : 36,448.50 = 6,768.86 : x
  2. Step 2: Convert to fraction form
    24,298.97/36,448.50 = 6,768.86/x
  3. Step 3: Cross multiply
    24,298.97x = 36,448.50 × 6,768.86
  4. Step 4: Simplify right side
    24,298.97x = 246,714,611.47
  5. Step 5: Solve for x
    x = 246,714,611.47/24,298.97
  6. Step 6: Final answer
    x = 10,153.30

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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.