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Finding the Fourth Proportional to 25,645.82, 38,536.37 and 13,808.34

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Solution

The fourth proportional to 25,645.82, 38,536.37 and 13,808.34 is: 20,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.82 : 38,536.37 = 13,808.34 : x
  2. Step 2: Convert to fraction form
    25,645.82/38,536.37 = 13,808.34/x
  3. Step 3: Cross multiply
    25,645.82x = 38,536.37 × 13,808.34
  4. Step 4: Simplify right side
    25,645.82x = 532,123,359.74
  5. Step 5: Solve for x
    x = 532,123,359.74/25,645.82
  6. Step 6: Final answer
    x = 20,748.94

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