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Finding the Fourth Proportional to 22,225.72, 33,341.89 and 8,184.67

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Solution

The fourth proportional to 22,225.72, 33,341.89 and 8,184.67 is: 12,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,225.72 : 33,341.89 = 8,184.67 : x
  2. Step 2: Convert to fraction form
    22,225.72/33,341.89 = 8,184.67/x
  3. Step 3: Cross multiply
    22,225.72x = 33,341.89 × 8,184.67
  4. Step 4: Simplify right side
    22,225.72x = 272,892,200.12
  5. Step 5: Solve for x
    x = 272,892,200.12/22,225.72
  6. Step 6: Final answer
    x = 12,278.22

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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.