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Finding the Fourth Proportional to 13,810.28, 19,057.28 and 8,144.76

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Solution

The fourth proportional to 13,810.28, 19,057.28 and 8,144.76 is: 11,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.28 : 19,057.28 = 8,144.76 : x
  2. Step 2: Convert to fraction form
    13,810.28/19,057.28 = 8,144.76/x
  3. Step 3: Cross multiply
    13,810.28x = 19,057.28 × 8,144.76
  4. Step 4: Simplify right side
    13,810.28x = 155,216,971.85
  5. Step 5: Solve for x
    x = 155,216,971.85/13,810.28
  6. Step 6: Final answer
    x = 11,239.23

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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.