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Finding the Fourth Proportional to 15,840.34, 21,857.38 and 8,766.74

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Solution

The fourth proportional to 15,840.34, 21,857.38 and 8,766.74 is: 12,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.34 : 21,857.38 = 8,766.74 : x
  2. Step 2: Convert to fraction form
    15,840.34/21,857.38 = 8,766.74/x
  3. Step 3: Cross multiply
    15,840.34x = 21,857.38 × 8,766.74
  4. Step 4: Simplify right side
    15,840.34x = 191,618,000.27
  5. Step 5: Solve for x
    x = 191,618,000.27/15,840.34
  6. Step 6: Final answer
    x = 12,096.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.