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Finding the Fourth Proportional to 22,519.95, 31,077.54 and 12,311.03

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Solution

The fourth proportional to 22,519.95, 31,077.54 and 12,311.03 is: 16,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.95 : 31,077.54 = 12,311.03 : x
  2. Step 2: Convert to fraction form
    22,519.95/31,077.54 = 12,311.03/x
  3. Step 3: Cross multiply
    22,519.95x = 31,077.54 × 12,311.03
  4. Step 4: Simplify right side
    22,519.95x = 382,596,371.88
  5. Step 5: Solve for x
    x = 382,596,371.88/22,519.95
  6. Step 6: Final answer
    x = 16,989.22

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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.