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Finding the Fourth Proportional to 20,114.70, 27,785.34 and 15,457.20

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Solution

The fourth proportional to 20,114.70, 27,785.34 and 15,457.20 is: 21,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.70 : 27,785.34 = 15,457.20 : x
  2. Step 2: Convert to fraction form
    20,114.70/27,785.34 = 15,457.20/x
  3. Step 3: Cross multiply
    20,114.70x = 27,785.34 × 15,457.20
  4. Step 4: Simplify right side
    20,114.70x = 429,483,557.45
  5. Step 5: Solve for x
    x = 429,483,557.45/20,114.70
  6. Step 6: Final answer
    x = 21,351.73

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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.