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Finding the Fourth Proportional to 26,678.78, 36,815.82 and 14,741.42

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Solution

The fourth proportional to 26,678.78, 36,815.82 and 14,741.42 is: 20,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678.78 : 36,815.82 = 14,741.42 : x
  2. Step 2: Convert to fraction form
    26,678.78/36,815.82 = 14,741.42/x
  3. Step 3: Cross multiply
    26,678.78x = 36,815.82 × 14,741.42
  4. Step 4: Simplify right side
    26,678.78x = 542,717,465.26
  5. Step 5: Solve for x
    x = 542,717,465.26/26,678.78
  6. Step 6: Final answer
    x = 20,342.66

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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.