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Finding the Fourth Proportional to 17,853.66, 26,774.01 and 6,754.64

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Solution

The fourth proportional to 17,853.66, 26,774.01 and 6,754.64 is: 10,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.66 : 26,774.01 = 6,754.64 : x
  2. Step 2: Convert to fraction form
    17,853.66/26,774.01 = 6,754.64/x
  3. Step 3: Cross multiply
    17,853.66x = 26,774.01 × 6,754.64
  4. Step 4: Simplify right side
    17,853.66x = 180,848,665.04
  5. Step 5: Solve for x
    x = 180,848,665.04/17,853.66
  6. Step 6: Final answer
    x = 10,129.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.