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Finding the Fourth Proportional to 19,705.68, 27,193.76 and 10,753.16

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Solution

The fourth proportional to 19,705.68, 27,193.76 and 10,753.16 is: 14,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.68 : 27,193.76 = 10,753.16 : x
  2. Step 2: Convert to fraction form
    19,705.68/27,193.76 = 10,753.16/x
  3. Step 3: Cross multiply
    19,705.68x = 27,193.76 × 10,753.16
  4. Step 4: Simplify right side
    19,705.68x = 292,418,662.55
  5. Step 5: Solve for x
    x = 292,418,662.55/19,705.68
  6. Step 6: Final answer
    x = 14,839.31

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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.