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Finding the Fourth Proportional to 23,788.89, 35,682.93 and 8,206.11

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Solution

The fourth proportional to 23,788.89, 35,682.93 and 8,206.11 is: 12,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.89 : 35,682.93 = 8,206.11 : x
  2. Step 2: Convert to fraction form
    23,788.89/35,682.93 = 8,206.11/x
  3. Step 3: Cross multiply
    23,788.89x = 35,682.93 × 8,206.11
  4. Step 4: Simplify right side
    23,788.89x = 292,818,048.70
  5. Step 5: Solve for x
    x = 292,818,048.70/23,788.89
  6. Step 6: Final answer
    x = 12,309.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.