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Finding the Fourth Proportional to 23,219.16, 34,819.65 and 8,220.48

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Solution

The fourth proportional to 23,219.16, 34,819.65 and 8,220.48 is: 12,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.16 : 34,819.65 = 8,220.48 : x
  2. Step 2: Convert to fraction form
    23,219.16/34,819.65 = 8,220.48/x
  3. Step 3: Cross multiply
    23,219.16x = 34,819.65 × 8,220.48
  4. Step 4: Simplify right side
    23,219.16x = 286,234,282.38
  5. Step 5: Solve for x
    x = 286,234,282.38/23,219.16
  6. Step 6: Final answer
    x = 12,327.51

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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.