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Finding the Fourth Proportional to 22,797.90, 31,452.03 and 13,364.64

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Solution

The fourth proportional to 22,797.90, 31,452.03 and 13,364.64 is: 18,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.90 : 31,452.03 = 13,364.64 : x
  2. Step 2: Convert to fraction form
    22,797.90/31,452.03 = 13,364.64/x
  3. Step 3: Cross multiply
    22,797.90x = 31,452.03 × 13,364.64
  4. Step 4: Simplify right side
    22,797.90x = 420,345,058.22
  5. Step 5: Solve for x
    x = 420,345,058.22/22,797.90
  6. Step 6: Final answer
    x = 18,437.88

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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.