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Finding the Fourth Proportional to 13,034.64, 17,996.12 and 8,566.32

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Solution

The fourth proportional to 13,034.64, 17,996.12 and 8,566.32 is: 11,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.64 : 17,996.12 = 8,566.32 : x
  2. Step 2: Convert to fraction form
    13,034.64/17,996.12 = 8,566.32/x
  3. Step 3: Cross multiply
    13,034.64x = 17,996.12 × 8,566.32
  4. Step 4: Simplify right side
    13,034.64x = 154,160,522.68
  5. Step 5: Solve for x
    x = 154,160,522.68/13,034.64
  6. Step 6: Final answer
    x = 11,826.99

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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.