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Finding the Fourth Proportional to 19,892.85, 29,837.04 and 5,102.11

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Solution

The fourth proportional to 19,892.85, 29,837.04 and 5,102.11 is: 7,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.85 : 29,837.04 = 5,102.11 : x
  2. Step 2: Convert to fraction form
    19,892.85/29,837.04 = 5,102.11/x
  3. Step 3: Cross multiply
    19,892.85x = 29,837.04 × 5,102.11
  4. Step 4: Simplify right side
    19,892.85x = 152,231,860.15
  5. Step 5: Solve for x
    x = 152,231,860.15/19,892.85
  6. Step 6: Final answer
    x = 7,652.59

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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.