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Finding the Fourth Proportional to 22,879.28, 31,573.64 and 13,448

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Solution

The fourth proportional to 22,879.28, 31,573.64 and 13,448 is: 18,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.28 : 31,573.64 = 13,448 : x
  2. Step 2: Convert to fraction form
    22,879.28/31,573.64 = 13,448/x
  3. Step 3: Cross multiply
    22,879.28x = 31,573.64 × 13,448
  4. Step 4: Simplify right side
    22,879.28x = 424,602,310.72
  5. Step 5: Solve for x
    x = 424,602,310.72/22,879.28
  6. Step 6: Final answer
    x = 18,558.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.