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Finding the Fourth Proportional to 19,516.74, 26,933 and 10,564.16

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Solution

The fourth proportional to 19,516.74, 26,933 and 10,564.16 is: 14,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.74 : 26,933 = 10,564.16 : x
  2. Step 2: Convert to fraction form
    19,516.74/26,933 = 10,564.16/x
  3. Step 3: Cross multiply
    19,516.74x = 26,933 × 10,564.16
  4. Step 4: Simplify right side
    19,516.74x = 284,524,521.28
  5. Step 5: Solve for x
    x = 284,524,521.28/19,516.74
  6. Step 6: Final answer
    x = 14,578.49

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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.