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Finding the Fourth Proportional to 22,234, 30,683.24 and 12,298.64

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Solution

The fourth proportional to 22,234, 30,683.24 and 12,298.64 is: 16,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234 : 30,683.24 = 12,298.64 : x
  2. Step 2: Convert to fraction form
    22,234/30,683.24 = 12,298.64/x
  3. Step 3: Cross multiply
    22,234x = 30,683.24 × 12,298.64
  4. Step 4: Simplify right side
    22,234x = 377,362,122.79
  5. Step 5: Solve for x
    x = 377,362,122.79/22,234
  6. Step 6: Final answer
    x = 16,972.30

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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.