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Finding the Fourth Proportional to 13,203.12, 18,219.84 and 7,894.80

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Solution

The fourth proportional to 13,203.12, 18,219.84 and 7,894.80 is: 10,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.12 : 18,219.84 = 7,894.80 : x
  2. Step 2: Convert to fraction form
    13,203.12/18,219.84 = 7,894.80/x
  3. Step 3: Cross multiply
    13,203.12x = 18,219.84 × 7,894.80
  4. Step 4: Simplify right side
    13,203.12x = 143,841,992.83
  5. Step 5: Solve for x
    x = 143,841,992.83/13,203.12
  6. Step 6: Final answer
    x = 10,894.55

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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.