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Finding the Fourth Proportional to 23,682.34, 32,678.04 and 15,736.24

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Solution

The fourth proportional to 23,682.34, 32,678.04 and 15,736.24 is: 21,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.34 : 32,678.04 = 15,736.24 : x
  2. Step 2: Convert to fraction form
    23,682.34/32,678.04 = 15,736.24/x
  3. Step 3: Cross multiply
    23,682.34x = 32,678.04 × 15,736.24
  4. Step 4: Simplify right side
    23,682.34x = 514,229,480.17
  5. Step 5: Solve for x
    x = 514,229,480.17/23,682.34
  6. Step 6: Final answer
    x = 21,713.63

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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.