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Finding the Fourth Proportional to 15,845.46, 21,866.40 and 8,771.82

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Solution

The fourth proportional to 15,845.46, 21,866.40 and 8,771.82 is: 12,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,845.46 : 21,866.40 = 8,771.82 : x
  2. Step 2: Convert to fraction form
    15,845.46/21,866.40 = 8,771.82/x
  3. Step 3: Cross multiply
    15,845.46x = 21,866.40 × 8,771.82
  4. Step 4: Simplify right side
    15,845.46x = 191,808,124.85
  5. Step 5: Solve for x
    x = 191,808,124.85/15,845.46
  6. Step 6: Final answer
    x = 12,104.93

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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.