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Finding the Fourth Proportional to 22,364.12, 30,855.76 and 13,408.36

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Solution

The fourth proportional to 22,364.12, 30,855.76 and 13,408.36 is: 18,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.12 : 30,855.76 = 13,408.36 : x
  2. Step 2: Convert to fraction form
    22,364.12/30,855.76 = 13,408.36/x
  3. Step 3: Cross multiply
    22,364.12x = 30,855.76 × 13,408.36
  4. Step 4: Simplify right side
    22,364.12x = 413,725,027.49
  5. Step 5: Solve for x
    x = 413,725,027.49/22,364.12
  6. Step 6: Final answer
    x = 18,499.50

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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.