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Finding the Fourth Proportional to 24,785.50, 34,204.71 and 13,608.22

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Solution

The fourth proportional to 24,785.50, 34,204.71 and 13,608.22 is: 18,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.50 : 34,204.71 = 13,608.22 : x
  2. Step 2: Convert to fraction form
    24,785.50/34,204.71 = 13,608.22/x
  3. Step 3: Cross multiply
    24,785.50x = 34,204.71 × 13,608.22
  4. Step 4: Simplify right side
    24,785.50x = 465,465,218.72
  5. Step 5: Solve for x
    x = 465,465,218.72/24,785.50
  6. Step 6: Final answer
    x = 18,779.74

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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.