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Finding the Fourth Proportional to 13,837.76, 19,096.04 and 7,550.13

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Solution

The fourth proportional to 13,837.76, 19,096.04 and 7,550.13 is: 10,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.76 : 19,096.04 = 7,550.13 : x
  2. Step 2: Convert to fraction form
    13,837.76/19,096.04 = 7,550.13/x
  3. Step 3: Cross multiply
    13,837.76x = 19,096.04 × 7,550.13
  4. Step 4: Simplify right side
    13,837.76x = 144,177,546.73
  5. Step 5: Solve for x
    x = 144,177,546.73/13,837.76
  6. Step 6: Final answer
    x = 10,419.14

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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.