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Finding the Fourth Proportional to 15,815.14, 21,824.01 and 8,741.09

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Solution

The fourth proportional to 15,815.14, 21,824.01 and 8,741.09 is: 12,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.14 : 21,824.01 = 8,741.09 : x
  2. Step 2: Convert to fraction form
    15,815.14/21,824.01 = 8,741.09/x
  3. Step 3: Cross multiply
    15,815.14x = 21,824.01 × 8,741.09
  4. Step 4: Simplify right side
    15,815.14x = 190,765,635.57
  5. Step 5: Solve for x
    x = 190,765,635.57/15,815.14
  6. Step 6: Final answer
    x = 12,062.22

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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.