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Finding the Fourth Proportional to 26,812.32, 40,222.80 and 8,340

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Solution

The fourth proportional to 26,812.32, 40,222.80 and 8,340 is: 12,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812.32 : 40,222.80 = 8,340 : x
  2. Step 2: Convert to fraction form
    26,812.32/40,222.80 = 8,340/x
  3. Step 3: Cross multiply
    26,812.32x = 40,222.80 × 8,340
  4. Step 4: Simplify right side
    26,812.32x = 335,458,152
  5. Step 5: Solve for x
    x = 335,458,152/26,812.32
  6. Step 6: Final answer
    x = 12,511.34

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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.