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Finding the Fourth Proportional to 17,500.32, 26,255.34 and 7,640.46

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Solution

The fourth proportional to 17,500.32, 26,255.34 and 7,640.46 is: 11,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500.32 : 26,255.34 = 7,640.46 : x
  2. Step 2: Convert to fraction form
    17,500.32/26,255.34 = 7,640.46/x
  3. Step 3: Cross multiply
    17,500.32x = 26,255.34 × 7,640.46
  4. Step 4: Simplify right side
    17,500.32x = 200,602,875.06
  5. Step 5: Solve for x
    x = 200,602,875.06/17,500.32
  6. Step 6: Final answer
    x = 11,462.81

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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.