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Finding the Fourth Proportional to 13,944.76, 19,243.92 and 7,657

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Solution

The fourth proportional to 13,944.76, 19,243.92 and 7,657 is: 10,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.76 : 19,243.92 = 7,657 : x
  2. Step 2: Convert to fraction form
    13,944.76/19,243.92 = 7,657/x
  3. Step 3: Cross multiply
    13,944.76x = 19,243.92 × 7,657
  4. Step 4: Simplify right side
    13,944.76x = 147,350,695.44
  5. Step 5: Solve for x
    x = 147,350,695.44/13,944.76
  6. Step 6: Final answer
    x = 10,566.74

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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.