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Finding the Fourth Proportional to 13,944.50, 19,243.55 and 7,657.01

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Solution

The fourth proportional to 13,944.50, 19,243.55 and 7,657.01 is: 10,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.50 : 19,243.55 = 7,657.01 : x
  2. Step 2: Convert to fraction form
    13,944.50/19,243.55 = 7,657.01/x
  3. Step 3: Cross multiply
    13,944.50x = 19,243.55 × 7,657.01
  4. Step 4: Simplify right side
    13,944.50x = 147,348,016.50
  5. Step 5: Solve for x
    x = 147,348,016.50/13,944.50
  6. Step 6: Final answer
    x = 10,566.75

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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.