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Finding the Fourth Proportional to 22,706.18, 31,321.74 and 13,629.22

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Solution

The fourth proportional to 22,706.18, 31,321.74 and 13,629.22 is: 18,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.18 : 31,321.74 = 13,629.22 : x
  2. Step 2: Convert to fraction form
    22,706.18/31,321.74 = 13,629.22/x
  3. Step 3: Cross multiply
    22,706.18x = 31,321.74 × 13,629.22
  4. Step 4: Simplify right side
    22,706.18x = 426,890,885.24
  5. Step 5: Solve for x
    x = 426,890,885.24/22,706.18
  6. Step 6: Final answer
    x = 18,800.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.