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Finding the Fourth Proportional to 38,217.66, 57,311.94 and 14,838.66

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Solution

The fourth proportional to 38,217.66, 57,311.94 and 14,838.66 is: 22,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217.66 : 57,311.94 = 14,838.66 : x
  2. Step 2: Convert to fraction form
    38,217.66/57,311.94 = 14,838.66/x
  3. Step 3: Cross multiply
    38,217.66x = 57,311.94 × 14,838.66
  4. Step 4: Simplify right side
    38,217.66x = 850,432,391.60
  5. Step 5: Solve for x
    x = 850,432,391.60/38,217.66
  6. Step 6: Final answer
    x = 22,252.34

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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.