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Finding the Fourth Proportional to 12,023.39, 16,584.92 and 7,767.55

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Solution

The fourth proportional to 12,023.39, 16,584.92 and 7,767.55 is: 10,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.39 : 16,584.92 = 7,767.55 : x
  2. Step 2: Convert to fraction form
    12,023.39/16,584.92 = 7,767.55/x
  3. Step 3: Cross multiply
    12,023.39x = 16,584.92 × 7,767.55
  4. Step 4: Simplify right side
    12,023.39x = 128,824,206.37
  5. Step 5: Solve for x
    x = 128,824,206.37/12,023.39
  6. Step 6: Final answer
    x = 10,714.46

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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.