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Finding the Fourth Proportional to 26,594.91, 36,702.77 and 14,658.26

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Solution

The fourth proportional to 26,594.91, 36,702.77 and 14,658.26 is: 20,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594.91 : 36,702.77 = 14,658.26 : x
  2. Step 2: Convert to fraction form
    26,594.91/36,702.77 = 14,658.26/x
  3. Step 3: Cross multiply
    26,594.91x = 36,702.77 × 14,658.26
  4. Step 4: Simplify right side
    26,594.91x = 537,998,488.58
  5. Step 5: Solve for x
    x = 537,998,488.58/26,594.91
  6. Step 6: Final answer
    x = 20,229.38

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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.