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Finding the Fourth Proportional to 13,817.28, 19,062.44 and 8,502.87

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Solution

The fourth proportional to 13,817.28, 19,062.44 and 8,502.87 is: 11,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.28 : 19,062.44 = 8,502.87 : x
  2. Step 2: Convert to fraction form
    13,817.28/19,062.44 = 8,502.87/x
  3. Step 3: Cross multiply
    13,817.28x = 19,062.44 × 8,502.87
  4. Step 4: Simplify right side
    13,817.28x = 162,085,510.06
  5. Step 5: Solve for x
    x = 162,085,510.06/13,817.28
  6. Step 6: Final answer
    x = 11,730.63

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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.