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Finding the Fourth Proportional to 13,841.68, 19,101.60 and 7,553.92

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Solution

The fourth proportional to 13,841.68, 19,101.60 and 7,553.92 is: 10,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.68 : 19,101.60 = 7,553.92 : x
  2. Step 2: Convert to fraction form
    13,841.68/19,101.60 = 7,553.92/x
  3. Step 3: Cross multiply
    13,841.68x = 19,101.60 × 7,553.92
  4. Step 4: Simplify right side
    13,841.68x = 144,291,958.27
  5. Step 5: Solve for x
    x = 144,291,958.27/13,841.68
  6. Step 6: Final answer
    x = 10,424.45

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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.