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Finding the Fourth Proportional to 24,302.82, 36,453.73 and 6,772.20

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Solution

The fourth proportional to 24,302.82, 36,453.73 and 6,772.20 is: 10,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.82 : 36,453.73 = 6,772.20 : x
  2. Step 2: Convert to fraction form
    24,302.82/36,453.73 = 6,772.20/x
  3. Step 3: Cross multiply
    24,302.82x = 36,453.73 × 6,772.20
  4. Step 4: Simplify right side
    24,302.82x = 246,871,950.31
  5. Step 5: Solve for x
    x = 246,871,950.31/24,302.82
  6. Step 6: Final answer
    x = 10,158.16

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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.