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Finding the Fourth Proportional to 22,656.50, 31,268.19 and 13,096.80

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Solution

The fourth proportional to 22,656.50, 31,268.19 and 13,096.80 is: 18,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.50 : 31,268.19 = 13,096.80 : x
  2. Step 2: Convert to fraction form
    22,656.50/31,268.19 = 13,096.80/x
  3. Step 3: Cross multiply
    22,656.50x = 31,268.19 × 13,096.80
  4. Step 4: Simplify right side
    22,656.50x = 409,513,230.79
  5. Step 5: Solve for x
    x = 409,513,230.79/22,656.50
  6. Step 6: Final answer
    x = 18,074.87

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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.