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Finding the Fourth Proportional to 19,694.46, 27,178.34 and 10,741.94

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Solution

The fourth proportional to 19,694.46, 27,178.34 and 10,741.94 is: 14,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.46 : 27,178.34 = 10,741.94 : x
  2. Step 2: Convert to fraction form
    19,694.46/27,178.34 = 10,741.94/x
  3. Step 3: Cross multiply
    19,694.46x = 27,178.34 × 10,741.94
  4. Step 4: Simplify right side
    19,694.46x = 291,948,056.49
  5. Step 5: Solve for x
    x = 291,948,056.49/19,694.46
  6. Step 6: Final answer
    x = 14,823.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.