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Finding the Fourth Proportional to 19,635.64, 27,097.30 and 10,683.20

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Solution

The fourth proportional to 19,635.64, 27,097.30 and 10,683.20 is: 14,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.64 : 27,097.30 = 10,683.20 : x
  2. Step 2: Convert to fraction form
    19,635.64/27,097.30 = 10,683.20/x
  3. Step 3: Cross multiply
    19,635.64x = 27,097.30 × 10,683.20
  4. Step 4: Simplify right side
    19,635.64x = 289,485,949.49
  5. Step 5: Solve for x
    x = 289,485,949.49/19,635.64
  6. Step 6: Final answer
    x = 14,742.88

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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.