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Finding the Fourth Proportional to 19,892.42, 29,832.52 and 6,562.95

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Solution

The fourth proportional to 19,892.42, 29,832.52 and 6,562.95 is: 9,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.42 : 29,832.52 = 6,562.95 : x
  2. Step 2: Convert to fraction form
    19,892.42/29,832.52 = 6,562.95/x
  3. Step 3: Cross multiply
    19,892.42x = 29,832.52 × 6,562.95
  4. Step 4: Simplify right side
    19,892.42x = 195,789,337.13
  5. Step 5: Solve for x
    x = 195,789,337.13/19,892.42
  6. Step 6: Final answer
    x = 9,842.41

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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.