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Finding the Fourth Proportional to 13,944.57, 19,243.92 and 7,657.08

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Solution

The fourth proportional to 13,944.57, 19,243.92 and 7,657.08 is: 10,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.57 : 19,243.92 = 7,657.08 : x
  2. Step 2: Convert to fraction form
    13,944.57/19,243.92 = 7,657.08/x
  3. Step 3: Cross multiply
    13,944.57x = 19,243.92 × 7,657.08
  4. Step 4: Simplify right side
    13,944.57x = 147,352,234.95
  5. Step 5: Solve for x
    x = 147,352,234.95/13,944.57
  6. Step 6: Final answer
    x = 10,567.00

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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.