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Finding the Fourth Proportional to 22,132.08, 33,197.04 and 8,280

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Solution

The fourth proportional to 22,132.08, 33,197.04 and 8,280 is: 12,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.08 : 33,197.04 = 8,280 : x
  2. Step 2: Convert to fraction form
    22,132.08/33,197.04 = 8,280/x
  3. Step 3: Cross multiply
    22,132.08x = 33,197.04 × 8,280
  4. Step 4: Simplify right side
    22,132.08x = 274,871,491.20
  5. Step 5: Solve for x
    x = 274,871,491.20/22,132.08
  6. Step 6: Final answer
    x = 12,419.60

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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.