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Finding the Fourth Proportional to 26,514.69, 36,590.99 and 14,578.53

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Solution

The fourth proportional to 26,514.69, 36,590.99 and 14,578.53 is: 20,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,514.69 : 36,590.99 = 14,578.53 : x
  2. Step 2: Convert to fraction form
    26,514.69/36,590.99 = 14,578.53/x
  3. Step 3: Cross multiply
    26,514.69x = 36,590.99 × 14,578.53
  4. Step 4: Simplify right side
    26,514.69x = 533,442,772.55
  5. Step 5: Solve for x
    x = 533,442,772.55/26,514.69
  6. Step 6: Final answer
    x = 20,118.76

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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.