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Finding the Fourth Proportional to 24,325.34, 36,482.09 and 7,682.27

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Solution

The fourth proportional to 24,325.34, 36,482.09 and 7,682.27 is: 11,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.34 : 36,482.09 = 7,682.27 : x
  2. Step 2: Convert to fraction form
    24,325.34/36,482.09 = 7,682.27/x
  3. Step 3: Cross multiply
    24,325.34x = 36,482.09 × 7,682.27
  4. Step 4: Simplify right side
    24,325.34x = 280,265,044.72
  5. Step 5: Solve for x
    x = 280,265,044.72/24,325.34
  6. Step 6: Final answer
    x = 11,521.53

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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.