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Finding the Fourth Proportional to 26,494.86, 39,716.37 and 12,653.58

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Solution

The fourth proportional to 26,494.86, 39,716.37 and 12,653.58 is: 18,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.86 : 39,716.37 = 12,653.58 : x
  2. Step 2: Convert to fraction form
    26,494.86/39,716.37 = 12,653.58/x
  3. Step 3: Cross multiply
    26,494.86x = 39,716.37 × 12,653.58
  4. Step 4: Simplify right side
    26,494.86x = 502,554,265.10
  5. Step 5: Solve for x
    x = 502,554,265.10/26,494.86
  6. Step 6: Final answer
    x = 18,967.99

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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.