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Finding the Fourth Proportional to 13,841.42, 19,100.82 and 7,553.81

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Solution

The fourth proportional to 13,841.42, 19,100.82 and 7,553.81 is: 10,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.42 : 19,100.82 = 7,553.81 : x
  2. Step 2: Convert to fraction form
    13,841.42/19,100.82 = 7,553.81/x
  3. Step 3: Cross multiply
    13,841.42x = 19,100.82 × 7,553.81
  4. Step 4: Simplify right side
    13,841.42x = 144,283,965.12
  5. Step 5: Solve for x
    x = 144,283,965.12/13,841.42
  6. Step 6: Final answer
    x = 10,424.07

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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.