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Finding the Fourth Proportional to 18,656.68, 27,994.76 and 8,266

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Solution

The fourth proportional to 18,656.68, 27,994.76 and 8,266 is: 12,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.68 : 27,994.76 = 8,266 : x
  2. Step 2: Convert to fraction form
    18,656.68/27,994.76 = 8,266/x
  3. Step 3: Cross multiply
    18,656.68x = 27,994.76 × 8,266
  4. Step 4: Simplify right side
    18,656.68x = 231,404,686.16
  5. Step 5: Solve for x
    x = 231,404,686.16/18,656.68
  6. Step 6: Final answer
    x = 12,403.32

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