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Finding the Fourth Proportional to 22,777.99, 31,433.65 and 13,219.74

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Solution

The fourth proportional to 22,777.99, 31,433.65 and 13,219.74 is: 18,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.99 : 31,433.65 = 13,219.74 : x
  2. Step 2: Convert to fraction form
    22,777.99/31,433.65 = 13,219.74/x
  3. Step 3: Cross multiply
    22,777.99x = 31,433.65 × 13,219.74
  4. Step 4: Simplify right side
    22,777.99x = 415,544,618.19
  5. Step 5: Solve for x
    x = 415,544,618.19/22,777.99
  6. Step 6: Final answer
    x = 18,243.26

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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.