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Finding the Fourth Proportional to 19,705.94, 27,194.12 and 10,753.38

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Solution

The fourth proportional to 19,705.94, 27,194.12 and 10,753.38 is: 14,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.94 : 27,194.12 = 10,753.38 : x
  2. Step 2: Convert to fraction form
    19,705.94/27,194.12 = 10,753.38/x
  3. Step 3: Cross multiply
    19,705.94x = 27,194.12 × 10,753.38
  4. Step 4: Simplify right side
    19,705.94x = 292,428,706.13
  5. Step 5: Solve for x
    x = 292,428,706.13/19,705.94
  6. Step 6: Final answer
    x = 14,839.62

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Why These Related Problems?

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