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Finding the Fourth Proportional to 19,516.83, 26,933.22 and 10,564.41

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Solution

The fourth proportional to 19,516.83, 26,933.22 and 10,564.41 is: 14,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.83 : 26,933.22 = 10,564.41 : x
  2. Step 2: Convert to fraction form
    19,516.83/26,933.22 = 10,564.41/x
  3. Step 3: Cross multiply
    19,516.83x = 26,933.22 × 10,564.41
  4. Step 4: Simplify right side
    19,516.83x = 284,533,391.21
  5. Step 5: Solve for x
    x = 284,533,391.21/19,516.83
  6. Step 6: Final answer
    x = 14,578.87

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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.