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Finding the Fourth Proportional to 21,913.24, 32,866.62 and 8,059

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Solution

The fourth proportional to 21,913.24, 32,866.62 and 8,059 is: 12,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913.24 : 32,866.62 = 8,059 : x
  2. Step 2: Convert to fraction form
    21,913.24/32,866.62 = 8,059/x
  3. Step 3: Cross multiply
    21,913.24x = 32,866.62 × 8,059
  4. Step 4: Simplify right side
    21,913.24x = 264,872,090.58
  5. Step 5: Solve for x
    x = 264,872,090.58/21,913.24
  6. Step 6: Final answer
    x = 12,087.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.