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Finding the Fourth Proportional to 22,312.08, 33,467.21 and 9,164.12

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Solution

The fourth proportional to 22,312.08, 33,467.21 and 9,164.12 is: 13,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.08 : 33,467.21 = 9,164.12 : x
  2. Step 2: Convert to fraction form
    22,312.08/33,467.21 = 9,164.12/x
  3. Step 3: Cross multiply
    22,312.08x = 33,467.21 × 9,164.12
  4. Step 4: Simplify right side
    22,312.08x = 306,697,315.35
  5. Step 5: Solve for x
    x = 306,697,315.35/22,312.08
  6. Step 6: Final answer
    x = 13,745.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.