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Finding the Fourth Proportional to 15,930.36, 21,984 and 8,856.84

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Solution

The fourth proportional to 15,930.36, 21,984 and 8,856.84 is: 12,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.36 : 21,984 = 8,856.84 : x
  2. Step 2: Convert to fraction form
    15,930.36/21,984 = 8,856.84/x
  3. Step 3: Cross multiply
    15,930.36x = 21,984 × 8,856.84
  4. Step 4: Simplify right side
    15,930.36x = 194,708,770.56
  5. Step 5: Solve for x
    x = 194,708,770.56/15,930.36
  6. Step 6: Final answer
    x = 12,222.50

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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.