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Finding the Fourth Proportional to 15,633.84, 23,423.20 and 8,220.72

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Solution

The fourth proportional to 15,633.84, 23,423.20 and 8,220.72 is: 12,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.84 : 23,423.20 = 8,220.72 : x
  2. Step 2: Convert to fraction form
    15,633.84/23,423.20 = 8,220.72/x
  3. Step 3: Cross multiply
    15,633.84x = 23,423.20 × 8,220.72
  4. Step 4: Simplify right side
    15,633.84x = 192,555,568.70
  5. Step 5: Solve for x
    x = 192,555,568.70/15,633.84
  6. Step 6: Final answer
    x = 12,316.59

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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.