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Finding the Fourth Proportional to 26,514, 36,590.18 and 14,578.20

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Solution

The fourth proportional to 26,514, 36,590.18 and 14,578.20 is: 20,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,514 : 36,590.18 = 14,578.20 : x
  2. Step 2: Convert to fraction form
    26,514/36,590.18 = 14,578.20/x
  3. Step 3: Cross multiply
    26,514x = 36,590.18 × 14,578.20
  4. Step 4: Simplify right side
    26,514x = 533,418,889.19
  5. Step 5: Solve for x
    x = 533,418,889.19/26,514
  6. Step 6: Final answer
    x = 20,118.39

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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.