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Finding the Fourth Proportional to 14,659.60, 20,230.14 and 7,945.24

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Solution

The fourth proportional to 14,659.60, 20,230.14 and 7,945.24 is: 10,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.60 : 20,230.14 = 7,945.24 : x
  2. Step 2: Convert to fraction form
    14,659.60/20,230.14 = 7,945.24/x
  3. Step 3: Cross multiply
    14,659.60x = 20,230.14 × 7,945.24
  4. Step 4: Simplify right side
    14,659.60x = 160,733,317.53
  5. Step 5: Solve for x
    x = 160,733,317.53/14,659.60
  6. Step 6: Final answer
    x = 10,964.37

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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.