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Finding the Fourth Proportional to 13,944.76, 19,244.08 and 7,657.13

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Solution

The fourth proportional to 13,944.76, 19,244.08 and 7,657.13 is: 10,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.76 : 19,244.08 = 7,657.13 : x
  2. Step 2: Convert to fraction form
    13,944.76/19,244.08 = 7,657.13/x
  3. Step 3: Cross multiply
    13,944.76x = 19,244.08 × 7,657.13
  4. Step 4: Simplify right side
    13,944.76x = 147,354,479.97
  5. Step 5: Solve for x
    x = 147,354,479.97/13,944.76
  6. Step 6: Final answer
    x = 10,567.02

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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.