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Finding the Fourth Proportional to 15,309.42, 22,964.13 and 4,216.22

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Solution

The fourth proportional to 15,309.42, 22,964.13 and 4,216.22 is: 6,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.42 : 22,964.13 = 4,216.22 : x
  2. Step 2: Convert to fraction form
    15,309.42/22,964.13 = 4,216.22/x
  3. Step 3: Cross multiply
    15,309.42x = 22,964.13 × 4,216.22
  4. Step 4: Simplify right side
    15,309.42x = 96,821,795.48
  5. Step 5: Solve for x
    x = 96,821,795.48/15,309.42
  6. Step 6: Final answer
    x = 6,324.33

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Similar ratio
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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.