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Finding the Fourth Proportional to 26,514.64, 36,590.22 and 14,578.18

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Solution

The fourth proportional to 26,514.64, 36,590.22 and 14,578.18 is: 20,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,514.64 : 36,590.22 = 14,578.18 : x
  2. Step 2: Convert to fraction form
    26,514.64/36,590.22 = 14,578.18/x
  3. Step 3: Cross multiply
    26,514.64x = 36,590.22 × 14,578.18
  4. Step 4: Simplify right side
    26,514.64x = 533,418,813.40
  5. Step 5: Solve for x
    x = 533,418,813.40/26,514.64
  6. Step 6: Final answer
    x = 20,117.90

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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.