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Finding the Fourth Proportional to 19,729.28, 27,229.14 and 12,560

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Solution

The fourth proportional to 19,729.28, 27,229.14 and 12,560 is: 17,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.28 : 27,229.14 = 12,560 : x
  2. Step 2: Convert to fraction form
    19,729.28/27,229.14 = 12,560/x
  3. Step 3: Cross multiply
    19,729.28x = 27,229.14 × 12,560
  4. Step 4: Simplify right side
    19,729.28x = 341,997,998.40
  5. Step 5: Solve for x
    x = 341,997,998.40/19,729.28
  6. Step 6: Final answer
    x = 17,334.54

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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.