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Finding the Fourth Proportional to 23,234.16, 32,108.76 and 20,642.16

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Solution

The fourth proportional to 23,234.16, 32,108.76 and 20,642.16 is: 28,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.16 : 32,108.76 = 20,642.16 : x
  2. Step 2: Convert to fraction form
    23,234.16/32,108.76 = 20,642.16/x
  3. Step 3: Cross multiply
    23,234.16x = 32,108.76 × 20,642.16
  4. Step 4: Simplify right side
    23,234.16x = 662,794,161.32
  5. Step 5: Solve for x
    x = 662,794,161.32/23,234.16
  6. Step 6: Final answer
    x = 28,526.71

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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.