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Finding the Fourth Proportional to 22,786.64, 31,459.80 and 17,471.24

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Solution

The fourth proportional to 22,786.64, 31,459.80 and 17,471.24 is: 24,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.64 : 31,459.80 = 17,471.24 : x
  2. Step 2: Convert to fraction form
    22,786.64/31,459.80 = 17,471.24/x
  3. Step 3: Cross multiply
    22,786.64x = 31,459.80 × 17,471.24
  4. Step 4: Simplify right side
    22,786.64x = 549,641,716.15
  5. Step 5: Solve for x
    x = 549,641,716.15/22,786.64
  6. Step 6: Final answer
    x = 24,121.23

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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.