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Finding the Fourth Proportional to 19,866.80, 29,792.82 and 5,823.22

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Solution

The fourth proportional to 19,866.80, 29,792.82 and 5,823.22 is: 8,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.80 : 29,792.82 = 5,823.22 : x
  2. Step 2: Convert to fraction form
    19,866.80/29,792.82 = 5,823.22/x
  3. Step 3: Cross multiply
    19,866.80x = 29,792.82 × 5,823.22
  4. Step 4: Simplify right side
    19,866.80x = 173,490,145.28
  5. Step 5: Solve for x
    x = 173,490,145.28/19,866.80
  6. Step 6: Final answer
    x = 8,732.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.