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Finding the Fourth Proportional to 13,193.14, 18,201.33 and 7,603.06

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Solution

The fourth proportional to 13,193.14, 18,201.33 and 7,603.06 is: 10,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.14 : 18,201.33 = 7,603.06 : x
  2. Step 2: Convert to fraction form
    13,193.14/18,201.33 = 7,603.06/x
  3. Step 3: Cross multiply
    13,193.14x = 18,201.33 × 7,603.06
  4. Step 4: Simplify right side
    13,193.14x = 138,385,804.07
  5. Step 5: Solve for x
    x = 138,385,804.07/13,193.14
  6. Step 6: Final answer
    x = 10,489.22

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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.