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Finding the Fourth Proportional to 19,516.52, 26,932.78 and 10,564

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Solution

The fourth proportional to 19,516.52, 26,932.78 and 10,564 is: 14,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.52 : 26,932.78 = 10,564 : x
  2. Step 2: Convert to fraction form
    19,516.52/26,932.78 = 10,564/x
  3. Step 3: Cross multiply
    19,516.52x = 26,932.78 × 10,564
  4. Step 4: Simplify right side
    19,516.52x = 284,517,887.92
  5. Step 5: Solve for x
    x = 284,517,887.92/19,516.52
  6. Step 6: Final answer
    x = 14,578.31

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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.