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Finding the Fourth Proportional to 19,706.16, 29,552.52 and 5,662.48

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Solution

The fourth proportional to 19,706.16, 29,552.52 and 5,662.48 is: 8,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.16 : 29,552.52 = 5,662.48 : x
  2. Step 2: Convert to fraction form
    19,706.16/29,552.52 = 5,662.48/x
  3. Step 3: Cross multiply
    19,706.16x = 29,552.52 × 5,662.48
  4. Step 4: Simplify right side
    19,706.16x = 167,340,553.45
  5. Step 5: Solve for x
    x = 167,340,553.45/19,706.16
  6. Step 6: Final answer
    x = 8,491.79

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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.