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Finding the Fourth Proportional to 22,159.24, 30,579.30 and 12,223.24

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Solution

The fourth proportional to 22,159.24, 30,579.30 and 12,223.24 is: 16,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.24 : 30,579.30 = 12,223.24 : x
  2. Step 2: Convert to fraction form
    22,159.24/30,579.30 = 12,223.24/x
  3. Step 3: Cross multiply
    22,159.24x = 30,579.30 × 12,223.24
  4. Step 4: Simplify right side
    22,159.24x = 373,778,122.93
  5. Step 5: Solve for x
    x = 373,778,122.93/22,159.24
  6. Step 6: Final answer
    x = 16,867.82

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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.