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Finding the Fourth Proportional to 14,597.13, 20,142.90 and 8,223.39

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Solution

The fourth proportional to 14,597.13, 20,142.90 and 8,223.39 is: 11,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.13 : 20,142.90 = 8,223.39 : x
  2. Step 2: Convert to fraction form
    14,597.13/20,142.90 = 8,223.39/x
  3. Step 3: Cross multiply
    14,597.13x = 20,142.90 × 8,223.39
  4. Step 4: Simplify right side
    14,597.13x = 165,642,922.43
  5. Step 5: Solve for x
    x = 165,642,922.43/14,597.13
  6. Step 6: Final answer
    x = 11,347.64

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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.