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Finding the Fourth Proportional to 23,494.83, 32,418.72 and 13,421.88

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Solution

The fourth proportional to 23,494.83, 32,418.72 and 13,421.88 is: 18,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.83 : 32,418.72 = 13,421.88 : x
  2. Step 2: Convert to fraction form
    23,494.83/32,418.72 = 13,421.88/x
  3. Step 3: Cross multiply
    23,494.83x = 32,418.72 × 13,421.88
  4. Step 4: Simplify right side
    23,494.83x = 435,120,169.59
  5. Step 5: Solve for x
    x = 435,120,169.59/23,494.83
  6. Step 6: Final answer
    x = 18,519.83

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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.