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Finding the Fourth Proportional to 19,767.28, 27,271.14 and 12,697.60

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Solution

The fourth proportional to 19,767.28, 27,271.14 and 12,697.60 is: 17,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.28 : 27,271.14 = 12,697.60 : x
  2. Step 2: Convert to fraction form
    19,767.28/27,271.14 = 12,697.60/x
  3. Step 3: Cross multiply
    19,767.28x = 27,271.14 × 12,697.60
  4. Step 4: Simplify right side
    19,767.28x = 346,278,027.26
  5. Step 5: Solve for x
    x = 346,278,027.26/19,767.28
  6. Step 6: Final answer
    x = 17,517.74

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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.