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Finding the Fourth Proportional to 13,283.28, 19,906.28 and 10,497.70

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Solution

The fourth proportional to 13,283.28, 19,906.28 and 10,497.70 is: 15,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.28 : 19,906.28 = 10,497.70 : x
  2. Step 2: Convert to fraction form
    13,283.28/19,906.28 = 10,497.70/x
  3. Step 3: Cross multiply
    13,283.28x = 19,906.28 × 10,497.70
  4. Step 4: Simplify right side
    13,283.28x = 208,970,155.56
  5. Step 5: Solve for x
    x = 208,970,155.56/13,283.28
  6. Step 6: Final answer
    x = 15,731.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.