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Finding the Fourth Proportional to 13,653.81, 20,481.12 and 7,416.81

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Solution

The fourth proportional to 13,653.81, 20,481.12 and 7,416.81 is: 11,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.81 : 20,481.12 = 7,416.81 : x
  2. Step 2: Convert to fraction form
    13,653.81/20,481.12 = 7,416.81/x
  3. Step 3: Cross multiply
    13,653.81x = 20,481.12 × 7,416.81
  4. Step 4: Simplify right side
    13,653.81x = 151,904,575.63
  5. Step 5: Solve for x
    x = 151,904,575.63/13,653.81
  6. Step 6: Final answer
    x = 11,125.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.