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Finding the Fourth Proportional to 22,354.32, 30,846.84 and 13,400.16

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Solution

The fourth proportional to 22,354.32, 30,846.84 and 13,400.16 is: 18,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.32 : 30,846.84 = 13,400.16 : x
  2. Step 2: Convert to fraction form
    22,354.32/30,846.84 = 13,400.16/x
  3. Step 3: Cross multiply
    22,354.32x = 30,846.84 × 13,400.16
  4. Step 4: Simplify right side
    22,354.32x = 413,352,591.49
  5. Step 5: Solve for x
    x = 413,352,591.49/22,354.32
  6. Step 6: Final answer
    x = 18,490.95

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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.