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Finding the Fourth Proportional to 15,815.76, 21,824.80 and 8,741.76

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Solution

The fourth proportional to 15,815.76, 21,824.80 and 8,741.76 is: 12,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.76 : 21,824.80 = 8,741.76 : x
  2. Step 2: Convert to fraction form
    15,815.76/21,824.80 = 8,741.76/x
  3. Step 3: Cross multiply
    15,815.76x = 21,824.80 × 8,741.76
  4. Step 4: Simplify right side
    15,815.76x = 190,787,163.65
  5. Step 5: Solve for x
    x = 190,787,163.65/15,815.76
  6. Step 6: Final answer
    x = 12,063.10

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1.5x scale

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.