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Finding the Fourth Proportional to 22,184.08, 33,280.90 and 6,389

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Solution

The fourth proportional to 22,184.08, 33,280.90 and 6,389 is: 9,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.08 : 33,280.90 = 6,389 : x
  2. Step 2: Convert to fraction form
    22,184.08/33,280.90 = 6,389/x
  3. Step 3: Cross multiply
    22,184.08x = 33,280.90 × 6,389
  4. Step 4: Simplify right side
    22,184.08x = 212,631,670.10
  5. Step 5: Solve for x
    x = 212,631,670.10/22,184.08
  6. Step 6: Final answer
    x = 9,584.88

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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.