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Finding the Fourth Proportional to 19,462.29, 29,194.16 and 6,809.58

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Solution

The fourth proportional to 19,462.29, 29,194.16 and 6,809.58 is: 10,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.29 : 29,194.16 = 6,809.58 : x
  2. Step 2: Convert to fraction form
    19,462.29/29,194.16 = 6,809.58/x
  3. Step 3: Cross multiply
    19,462.29x = 29,194.16 × 6,809.58
  4. Step 4: Simplify right side
    19,462.29x = 198,799,968.05
  5. Step 5: Solve for x
    x = 198,799,968.05/19,462.29
  6. Step 6: Final answer
    x = 10,214.62

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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.