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Finding the Fourth Proportional to 13,944.56, 19,252.50 and 8,645

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Solution

The fourth proportional to 13,944.56, 19,252.50 and 8,645 is: 11,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.56 : 19,252.50 = 8,645 : x
  2. Step 2: Convert to fraction form
    13,944.56/19,252.50 = 8,645/x
  3. Step 3: Cross multiply
    13,944.56x = 19,252.50 × 8,645
  4. Step 4: Simplify right side
    13,944.56x = 166,437,862.50
  5. Step 5: Solve for x
    x = 166,437,862.50/13,944.56
  6. Step 6: Final answer
    x = 11,935.68

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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.