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Finding the Fourth Proportional to 17,702.64, 26,531.46 and 8,322.03

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Solution

The fourth proportional to 17,702.64, 26,531.46 and 8,322.03 is: 12,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.64 : 26,531.46 = 8,322.03 : x
  2. Step 2: Convert to fraction form
    17,702.64/26,531.46 = 8,322.03/x
  3. Step 3: Cross multiply
    17,702.64x = 26,531.46 × 8,322.03
  4. Step 4: Simplify right side
    17,702.64x = 220,795,606.06
  5. Step 5: Solve for x
    x = 220,795,606.06/17,702.64
  6. Step 6: Final answer
    x = 12,472.47

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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.