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Finding the Fourth Proportional to 26,887.16, 40,326.42 and 8,419.16

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Solution

The fourth proportional to 26,887.16, 40,326.42 and 8,419.16 is: 12,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,887.16 : 40,326.42 = 8,419.16 : x
  2. Step 2: Convert to fraction form
    26,887.16/40,326.42 = 8,419.16/x
  3. Step 3: Cross multiply
    26,887.16x = 40,326.42 × 8,419.16
  4. Step 4: Simplify right side
    26,887.16x = 339,514,582.21
  5. Step 5: Solve for x
    x = 339,514,582.21/26,887.16
  6. Step 6: Final answer
    x = 12,627.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.