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Finding the Fourth Proportional to 13,523.62, 18,661.16 and 7,857.28

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Solution

The fourth proportional to 13,523.62, 18,661.16 and 7,857.28 is: 10,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.62 : 18,661.16 = 7,857.28 : x
  2. Step 2: Convert to fraction form
    13,523.62/18,661.16 = 7,857.28/x
  3. Step 3: Cross multiply
    13,523.62x = 18,661.16 × 7,857.28
  4. Step 4: Simplify right side
    13,523.62x = 146,625,959.24
  5. Step 5: Solve for x
    x = 146,625,959.24/13,523.62
  6. Step 6: Final answer
    x = 10,842.21

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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.