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Finding the Fourth Proportional to 17,570.56, 26,340.80 and 7,702.24

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Solution

The fourth proportional to 17,570.56, 26,340.80 and 7,702.24 is: 11,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570.56 : 26,340.80 = 7,702.24 : x
  2. Step 2: Convert to fraction form
    17,570.56/26,340.80 = 7,702.24/x
  3. Step 3: Cross multiply
    17,570.56x = 26,340.80 × 7,702.24
  4. Step 4: Simplify right side
    17,570.56x = 202,883,163.39
  5. Step 5: Solve for x
    x = 202,883,163.39/17,570.56
  6. Step 6: Final answer
    x = 11,546.77

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