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Finding the Fourth Proportional to 19,762.38, 29,593.15 and 11,416.85

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Solution

The fourth proportional to 19,762.38, 29,593.15 and 11,416.85 is: 17,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.38 : 29,593.15 = 11,416.85 : x
  2. Step 2: Convert to fraction form
    19,762.38/29,593.15 = 11,416.85/x
  3. Step 3: Cross multiply
    19,762.38x = 29,593.15 × 11,416.85
  4. Step 4: Simplify right side
    19,762.38x = 337,860,489.04
  5. Step 5: Solve for x
    x = 337,860,489.04/19,762.38
  6. Step 6: Final answer
    x = 17,096.14

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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.