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Finding the Fourth Proportional to 22,199.34, 33,312.14 and 8,169.21

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Solution

The fourth proportional to 22,199.34, 33,312.14 and 8,169.21 is: 12,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.34 : 33,312.14 = 8,169.21 : x
  2. Step 2: Convert to fraction form
    22,199.34/33,312.14 = 8,169.21/x
  3. Step 3: Cross multiply
    22,199.34x = 33,312.14 × 8,169.21
  4. Step 4: Simplify right side
    22,199.34x = 272,133,826.36
  5. Step 5: Solve for x
    x = 272,133,826.36/22,199.34
  6. Step 6: Final answer
    x = 12,258.65

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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.