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Finding the Fourth Proportional to 15,815.88, 21,826.11 and 8,742.96

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Solution

The fourth proportional to 15,815.88, 21,826.11 and 8,742.96 is: 12,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.88 : 21,826.11 = 8,742.96 : x
  2. Step 2: Convert to fraction form
    15,815.88/21,826.11 = 8,742.96/x
  3. Step 3: Cross multiply
    15,815.88x = 21,826.11 × 8,742.96
  4. Step 4: Simplify right side
    15,815.88x = 190,824,806.69
  5. Step 5: Solve for x
    x = 190,824,806.69/15,815.88
  6. Step 6: Final answer
    x = 12,065.39

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Why These Related Problems?

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