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Finding the Fourth Proportional to 14,872.25, 22,311.62 and 5,638.25

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Solution

The fourth proportional to 14,872.25, 22,311.62 and 5,638.25 is: 8,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.25 : 22,311.62 = 5,638.25 : x
  2. Step 2: Convert to fraction form
    14,872.25/22,311.62 = 5,638.25/x
  3. Step 3: Cross multiply
    14,872.25x = 22,311.62 × 5,638.25
  4. Step 4: Simplify right side
    14,872.25x = 125,798,491.47
  5. Step 5: Solve for x
    x = 125,798,491.47/14,872.25
  6. Step 6: Final answer
    x = 8,458.61

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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.