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Finding the Fourth Proportional to 22,890.98, 31,591.14 and 12,820.26

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Solution

The fourth proportional to 22,890.98, 31,591.14 and 12,820.26 is: 17,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,890.98 : 31,591.14 = 12,820.26 : x
  2. Step 2: Convert to fraction form
    22,890.98/31,591.14 = 12,820.26/x
  3. Step 3: Cross multiply
    22,890.98x = 31,591.14 × 12,820.26
  4. Step 4: Simplify right side
    22,890.98x = 405,006,628.50
  5. Step 5: Solve for x
    x = 405,006,628.50/22,890.98
  6. Step 6: Final answer
    x = 17,692.85

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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.