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Finding the Fourth Proportional to 12,023.13, 16,576.74 and 7,767

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Solution

The fourth proportional to 12,023.13, 16,576.74 and 7,767 is: 10,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.13 : 16,576.74 = 7,767 : x
  2. Step 2: Convert to fraction form
    12,023.13/16,576.74 = 7,767/x
  3. Step 3: Cross multiply
    12,023.13x = 16,576.74 × 7,767
  4. Step 4: Simplify right side
    12,023.13x = 128,751,539.58
  5. Step 5: Solve for x
    x = 128,751,539.58/12,023.13
  6. Step 6: Final answer
    x = 10,708.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.