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Finding the Fourth Proportional to 13,199.52, 18,215.34 and 7,894.34

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Solution

The fourth proportional to 13,199.52, 18,215.34 and 7,894.34 is: 10,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.52 : 18,215.34 = 7,894.34 : x
  2. Step 2: Convert to fraction form
    13,199.52/18,215.34 = 7,894.34/x
  3. Step 3: Cross multiply
    13,199.52x = 18,215.34 × 7,894.34
  4. Step 4: Simplify right side
    13,199.52x = 143,797,989.12
  5. Step 5: Solve for x
    x = 143,797,989.12/13,199.52
  6. Step 6: Final answer
    x = 10,894.18

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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.