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Finding the Fourth Proportional to 15,767.36, 23,672.64 and 9,906.56

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Solution

The fourth proportional to 15,767.36, 23,672.64 and 9,906.56 is: 14,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.36 : 23,672.64 = 9,906.56 : x
  2. Step 2: Convert to fraction form
    15,767.36/23,672.64 = 9,906.56/x
  3. Step 3: Cross multiply
    15,767.36x = 23,672.64 × 9,906.56
  4. Step 4: Simplify right side
    15,767.36x = 234,514,428.52
  5. Step 5: Solve for x
    x = 234,514,428.52/15,767.36
  6. Step 6: Final answer
    x = 14,873.41

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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.