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Finding the Fourth Proportional to 15,811.96, 21,821.80 and 8,738.52

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Solution

The fourth proportional to 15,811.96, 21,821.80 and 8,738.52 is: 12,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.96 : 21,821.80 = 8,738.52 : x
  2. Step 2: Convert to fraction form
    15,811.96/21,821.80 = 8,738.52/x
  3. Step 3: Cross multiply
    15,811.96x = 21,821.80 × 8,738.52
  4. Step 4: Simplify right side
    15,811.96x = 190,690,235.74
  5. Step 5: Solve for x
    x = 190,690,235.74/15,811.96
  6. Step 6: Final answer
    x = 12,059.87

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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.