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Finding the Fourth Proportional to 23,251, 32,085.04 and 12,640.56

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Solution

The fourth proportional to 23,251, 32,085.04 and 12,640.56 is: 17,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251 : 32,085.04 = 12,640.56 : x
  2. Step 2: Convert to fraction form
    23,251/32,085.04 = 12,640.56/x
  3. Step 3: Cross multiply
    23,251x = 32,085.04 × 12,640.56
  4. Step 4: Simplify right side
    23,251x = 405,572,873.22
  5. Step 5: Solve for x
    x = 405,572,873.22/23,251
  6. Step 6: Final answer
    x = 17,443.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.