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Finding the Fourth Proportional to 13,808.18, 19,057.76 and 8,142.59

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Solution

The fourth proportional to 13,808.18, 19,057.76 and 8,142.59 is: 11,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.18 : 19,057.76 = 8,142.59 : x
  2. Step 2: Convert to fraction form
    13,808.18/19,057.76 = 8,142.59/x
  3. Step 3: Cross multiply
    13,808.18x = 19,057.76 × 8,142.59
  4. Step 4: Simplify right side
    13,808.18x = 155,179,486.80
  5. Step 5: Solve for x
    x = 155,179,486.80/13,808.18
  6. Step 6: Final answer
    x = 11,238.23

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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.