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Finding the Fourth Proportional to 17,715.68, 24,447.36 and 10,161.68

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Solution

The fourth proportional to 17,715.68, 24,447.36 and 10,161.68 is: 14,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.68 : 24,447.36 = 10,161.68 : x
  2. Step 2: Convert to fraction form
    17,715.68/24,447.36 = 10,161.68/x
  3. Step 3: Cross multiply
    17,715.68x = 24,447.36 × 10,161.68
  4. Step 4: Simplify right side
    17,715.68x = 248,426,249.16
  5. Step 5: Solve for x
    x = 248,426,249.16/17,715.68
  6. Step 6: Final answer
    x = 14,022.96

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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.