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Finding the Fourth Proportional to 19,851.72, 29,767.14 and 10,496.76

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Solution

The fourth proportional to 19,851.72, 29,767.14 and 10,496.76 is: 15,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.72 : 29,767.14 = 10,496.76 : x
  2. Step 2: Convert to fraction form
    19,851.72/29,767.14 = 10,496.76/x
  3. Step 3: Cross multiply
    19,851.72x = 29,767.14 × 10,496.76
  4. Step 4: Simplify right side
    19,851.72x = 312,458,524.47
  5. Step 5: Solve for x
    x = 312,458,524.47/19,851.72
  6. Step 6: Final answer
    x = 15,739.62

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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.