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Finding the Fourth Proportional to 24,052.16, 36,079.52 and 6,523.84

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Solution

The fourth proportional to 24,052.16, 36,079.52 and 6,523.84 is: 9,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.16 : 36,079.52 = 6,523.84 : x
  2. Step 2: Convert to fraction form
    24,052.16/36,079.52 = 6,523.84/x
  3. Step 3: Cross multiply
    24,052.16x = 36,079.52 × 6,523.84
  4. Step 4: Simplify right side
    24,052.16x = 235,377,015.76
  5. Step 5: Solve for x
    x = 235,377,015.76/24,052.16
  6. Step 6: Final answer
    x = 9,786.11

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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.