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Finding the Fourth Proportional to 20,049.32, 27,649.14 and 14,956.08

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Solution

The fourth proportional to 20,049.32, 27,649.14 and 14,956.08 is: 20,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.32 : 27,649.14 = 14,956.08 : x
  2. Step 2: Convert to fraction form
    20,049.32/27,649.14 = 14,956.08/x
  3. Step 3: Cross multiply
    20,049.32x = 27,649.14 × 14,956.08
  4. Step 4: Simplify right side
    20,049.32x = 413,522,674.99
  5. Step 5: Solve for x
    x = 413,522,674.99/20,049.32
  6. Step 6: Final answer
    x = 20,625.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.