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Finding the Fourth Proportional to 19,401.16, 29,110.38 and 10,165

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Solution

The fourth proportional to 19,401.16, 29,110.38 and 10,165 is: 15,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401.16 : 29,110.38 = 10,165 : x
  2. Step 2: Convert to fraction form
    19,401.16/29,110.38 = 10,165/x
  3. Step 3: Cross multiply
    19,401.16x = 29,110.38 × 10,165
  4. Step 4: Simplify right side
    19,401.16x = 295,907,012.70
  5. Step 5: Solve for x
    x = 295,907,012.70/19,401.16
  6. Step 6: Final answer
    x = 15,252.03

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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.