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Finding the Fourth Proportional to 22,811.87, 31,479.74 and 12,740.02

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Solution

The fourth proportional to 22,811.87, 31,479.74 and 12,740.02 is: 17,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.87 : 31,479.74 = 12,740.02 : x
  2. Step 2: Convert to fraction form
    22,811.87/31,479.74 = 12,740.02/x
  3. Step 3: Cross multiply
    22,811.87x = 31,479.74 × 12,740.02
  4. Step 4: Simplify right side
    22,811.87x = 401,052,387.43
  5. Step 5: Solve for x
    x = 401,052,387.43/22,811.87
  6. Step 6: Final answer
    x = 17,580.86

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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.