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Finding the Fourth Proportional to 13,808.50, 19,058.20 and 8,142.90

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Solution

The fourth proportional to 13,808.50, 19,058.20 and 8,142.90 is: 11,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.50 : 19,058.20 = 8,142.90 : x
  2. Step 2: Convert to fraction form
    13,808.50/19,058.20 = 8,142.90/x
  3. Step 3: Cross multiply
    13,808.50x = 19,058.20 × 8,142.90
  4. Step 4: Simplify right side
    13,808.50x = 155,188,976.07
  5. Step 5: Solve for x
    x = 155,188,976.07/13,808.50
  6. Step 6: Final answer
    x = 11,238.66

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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.