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Finding the Fourth Proportional to 23,841.46, 32,899.03 and 14,149.24

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Solution

The fourth proportional to 23,841.46, 32,899.03 and 14,149.24 is: 19,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.46 : 32,899.03 = 14,149.24 : x
  2. Step 2: Convert to fraction form
    23,841.46/32,899.03 = 14,149.24/x
  3. Step 3: Cross multiply
    23,841.46x = 32,899.03 × 14,149.24
  4. Step 4: Simplify right side
    23,841.46x = 465,496,271.24
  5. Step 5: Solve for x
    x = 465,496,271.24/23,841.46
  6. Step 6: Final answer
    x = 19,524.65

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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.