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Finding the Fourth Proportional to 19,720.14, 27,214.90 and 10,768.48

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Solution

The fourth proportional to 19,720.14, 27,214.90 and 10,768.48 is: 14,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.14 : 27,214.90 = 10,768.48 : x
  2. Step 2: Convert to fraction form
    19,720.14/27,214.90 = 10,768.48/x
  3. Step 3: Cross multiply
    19,720.14x = 27,214.90 × 10,768.48
  4. Step 4: Simplify right side
    19,720.14x = 293,062,970.28
  5. Step 5: Solve for x
    x = 293,062,970.28/19,720.14
  6. Step 6: Final answer
    x = 14,861.10

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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.