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Finding the Fourth Proportional to 19,600.16, 29,401.20 and 5,748

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Solution

The fourth proportional to 19,600.16, 29,401.20 and 5,748 is: 8,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.16 : 29,401.20 = 5,748 : x
  2. Step 2: Convert to fraction form
    19,600.16/29,401.20 = 5,748/x
  3. Step 3: Cross multiply
    19,600.16x = 29,401.20 × 5,748
  4. Step 4: Simplify right side
    19,600.16x = 168,998,097.60
  5. Step 5: Solve for x
    x = 168,998,097.60/19,600.16
  6. Step 6: Final answer
    x = 8,622.28

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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.