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Finding the Fourth Proportional to 14,922.30, 22,381.98 and 3,828.66

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Solution

The fourth proportional to 14,922.30, 22,381.98 and 3,828.66 is: 5,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.30 : 22,381.98 = 3,828.66 : x
  2. Step 2: Convert to fraction form
    14,922.30/22,381.98 = 3,828.66/x
  3. Step 3: Cross multiply
    14,922.30x = 22,381.98 × 3,828.66
  4. Step 4: Simplify right side
    14,922.30x = 85,692,991.55
  5. Step 5: Solve for x
    x = 85,692,991.55/14,922.30
  6. Step 6: Final answer
    x = 5,742.61

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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.