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Finding the Fourth Proportional to 13,001.82, 17,943.06 and 7,338.84

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Solution

The fourth proportional to 13,001.82, 17,943.06 and 7,338.84 is: 10,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.82 : 17,943.06 = 7,338.84 : x
  2. Step 2: Convert to fraction form
    13,001.82/17,943.06 = 7,338.84/x
  3. Step 3: Cross multiply
    13,001.82x = 17,943.06 × 7,338.84
  4. Step 4: Simplify right side
    13,001.82x = 131,681,246.45
  5. Step 5: Solve for x
    x = 131,681,246.45/13,001.82
  6. Step 6: Final answer
    x = 10,127.91

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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.