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Finding the Fourth Proportional to 15,754.75, 23,608.32 and 9,507.82

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Solution

The fourth proportional to 15,754.75, 23,608.32 and 9,507.82 is: 14,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.75 : 23,608.32 = 9,507.82 : x
  2. Step 2: Convert to fraction form
    15,754.75/23,608.32 = 9,507.82/x
  3. Step 3: Cross multiply
    15,754.75x = 23,608.32 × 9,507.82
  4. Step 4: Simplify right side
    15,754.75x = 224,463,657.06
  5. Step 5: Solve for x
    x = 224,463,657.06/15,754.75
  6. Step 6: Final answer
    x = 14,247.36

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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.