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Finding the Fourth Proportional to 14,153.50, 19,534.18 and 8,188.66

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Solution

The fourth proportional to 14,153.50, 19,534.18 and 8,188.66 is: 11,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.50 : 19,534.18 = 8,188.66 : x
  2. Step 2: Convert to fraction form
    14,153.50/19,534.18 = 8,188.66/x
  3. Step 3: Cross multiply
    14,153.50x = 19,534.18 × 8,188.66
  4. Step 4: Simplify right side
    14,153.50x = 159,958,660.73
  5. Step 5: Solve for x
    x = 159,958,660.73/14,153.50
  6. Step 6: Final answer
    x = 11,301.71

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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.