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Finding the Fourth Proportional to 22,038.76, 30,418.89 and 13,542.94

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Solution

The fourth proportional to 22,038.76, 30,418.89 and 13,542.94 is: 18,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.76 : 30,418.89 = 13,542.94 : x
  2. Step 2: Convert to fraction form
    22,038.76/30,418.89 = 13,542.94/x
  3. Step 3: Cross multiply
    22,038.76x = 30,418.89 × 13,542.94
  4. Step 4: Simplify right side
    22,038.76x = 411,961,202.14
  5. Step 5: Solve for x
    x = 411,961,202.14/22,038.76
  6. Step 6: Final answer
    x = 18,692.58

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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.