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Finding the Fourth Proportional to 26,823.06, 40,234.59 and 8,356.50

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Solution

The fourth proportional to 26,823.06, 40,234.59 and 8,356.50 is: 12,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.06 : 40,234.59 = 8,356.50 : x
  2. Step 2: Convert to fraction form
    26,823.06/40,234.59 = 8,356.50/x
  3. Step 3: Cross multiply
    26,823.06x = 40,234.59 × 8,356.50
  4. Step 4: Simplify right side
    26,823.06x = 336,220,351.34
  5. Step 5: Solve for x
    x = 336,220,351.34/26,823.06
  6. Step 6: Final answer
    x = 12,534.75

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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.