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Finding the Fourth Proportional to 13,838.23, 19,096.86 and 7,550.56

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Solution

The fourth proportional to 13,838.23, 19,096.86 and 7,550.56 is: 10,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.23 : 19,096.86 = 7,550.56 : x
  2. Step 2: Convert to fraction form
    13,838.23/19,096.86 = 7,550.56/x
  3. Step 3: Cross multiply
    13,838.23x = 19,096.86 × 7,550.56
  4. Step 4: Simplify right side
    13,838.23x = 144,191,987.24
  5. Step 5: Solve for x
    x = 144,191,987.24/13,838.23
  6. Step 6: Final answer
    x = 10,419.83

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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.