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Finding the Fourth Proportional to 13,603.41, 18,767.34 and 7,857.07

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Solution

The fourth proportional to 13,603.41, 18,767.34 and 7,857.07 is: 10,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.41 : 18,767.34 = 7,857.07 : x
  2. Step 2: Convert to fraction form
    13,603.41/18,767.34 = 7,857.07/x
  3. Step 3: Cross multiply
    13,603.41x = 18,767.34 × 7,857.07
  4. Step 4: Simplify right side
    13,603.41x = 147,456,257.18
  5. Step 5: Solve for x
    x = 147,456,257.18/13,603.41
  6. Step 6: Final answer
    x = 10,839.65

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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.