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Finding the Fourth Proportional to 13,033.14, 17,994.05 and 8,564.82

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Solution

The fourth proportional to 13,033.14, 17,994.05 and 8,564.82 is: 11,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.14 : 17,994.05 = 8,564.82 : x
  2. Step 2: Convert to fraction form
    13,033.14/17,994.05 = 8,564.82/x
  3. Step 3: Cross multiply
    13,033.14x = 17,994.05 × 8,564.82
  4. Step 4: Simplify right side
    13,033.14x = 154,115,799.32
  5. Step 5: Solve for x
    x = 154,115,799.32/13,033.14
  6. Step 6: Final answer
    x = 11,824.92

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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.