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Finding the Fourth Proportional to 22,872.12, 34,312.50 and 9,724.44

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Solution

The fourth proportional to 22,872.12, 34,312.50 and 9,724.44 is: 14,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.12 : 34,312.50 = 9,724.44 : x
  2. Step 2: Convert to fraction form
    22,872.12/34,312.50 = 9,724.44/x
  3. Step 3: Cross multiply
    22,872.12x = 34,312.50 × 9,724.44
  4. Step 4: Simplify right side
    22,872.12x = 333,669,847.50
  5. Step 5: Solve for x
    x = 333,669,847.50/22,872.12
  6. Step 6: Final answer
    x = 14,588.50

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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.