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Finding the Fourth Proportional to 12,255.68, 16,927.04 and 9,634.56

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Solution

The fourth proportional to 12,255.68, 16,927.04 and 9,634.56 is: 13,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.68 : 16,927.04 = 9,634.56 : x
  2. Step 2: Convert to fraction form
    12,255.68/16,927.04 = 9,634.56/x
  3. Step 3: Cross multiply
    12,255.68x = 16,927.04 × 9,634.56
  4. Step 4: Simplify right side
    12,255.68x = 163,084,582.50
  5. Step 5: Solve for x
    x = 163,084,582.50/12,255.68
  6. Step 6: Final answer
    x = 13,306.86

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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.