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Finding the Fourth Proportional to 20,810.63, 31,215.97 and 8,498.63

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Solution

The fourth proportional to 20,810.63, 31,215.97 and 8,498.63 is: 12,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.63 : 31,215.97 = 8,498.63 : x
  2. Step 2: Convert to fraction form
    20,810.63/31,215.97 = 8,498.63/x
  3. Step 3: Cross multiply
    20,810.63x = 31,215.97 × 8,498.63
  4. Step 4: Simplify right side
    20,810.63x = 265,292,801.79
  5. Step 5: Solve for x
    x = 265,292,801.79/20,810.63
  6. Step 6: Final answer
    x = 12,747.95

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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.