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Finding the Fourth Proportional to 15,930.76, 21,984.42 and 8,857.16

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Solution

The fourth proportional to 15,930.76, 21,984.42 and 8,857.16 is: 12,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.76 : 21,984.42 = 8,857.16 : x
  2. Step 2: Convert to fraction form
    15,930.76/21,984.42 = 8,857.16/x
  3. Step 3: Cross multiply
    15,930.76x = 21,984.42 × 8,857.16
  4. Step 4: Simplify right side
    15,930.76x = 194,719,525.45
  5. Step 5: Solve for x
    x = 194,719,525.45/15,930.76
  6. Step 6: Final answer
    x = 12,222.86

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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.