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Finding the Fourth Proportional to 12,288.06, 16,944.39 and 8,089.02

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Solution

The fourth proportional to 12,288.06, 16,944.39 and 8,089.02 is: 11,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.06 : 16,944.39 = 8,089.02 : x
  2. Step 2: Convert to fraction form
    12,288.06/16,944.39 = 8,089.02/x
  3. Step 3: Cross multiply
    12,288.06x = 16,944.39 × 8,089.02
  4. Step 4: Simplify right side
    12,288.06x = 137,063,509.60
  5. Step 5: Solve for x
    x = 137,063,509.60/12,288.06
  6. Step 6: Final answer
    x = 11,154.20

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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.