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Finding the Fourth Proportional to 14,596.17, 20,122.79 and 10,334.49

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Solution

The fourth proportional to 14,596.17, 20,122.79 and 10,334.49 is: 14,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.17 : 20,122.79 = 10,334.49 : x
  2. Step 2: Convert to fraction form
    14,596.17/20,122.79 = 10,334.49/x
  3. Step 3: Cross multiply
    14,596.17x = 20,122.79 × 10,334.49
  4. Step 4: Simplify right side
    14,596.17x = 207,958,772.03
  5. Step 5: Solve for x
    x = 207,958,772.03/14,596.17
  6. Step 6: Final answer
    x = 14,247.49

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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.