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Finding the Fourth Proportional to 19,820.50, 29,717.48 and 10,450.62

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Solution

The fourth proportional to 19,820.50, 29,717.48 and 10,450.62 is: 15,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.50 : 29,717.48 = 10,450.62 : x
  2. Step 2: Convert to fraction form
    19,820.50/29,717.48 = 10,450.62/x
  3. Step 3: Cross multiply
    19,820.50x = 29,717.48 × 10,450.62
  4. Step 4: Simplify right side
    19,820.50x = 310,566,116.96
  5. Step 5: Solve for x
    x = 310,566,116.96/19,820.50
  6. Step 6: Final answer
    x = 15,668.94

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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.