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Finding the Fourth Proportional to 25,744.99, 38,613.49 and 7,026.51

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Solution

The fourth proportional to 25,744.99, 38,613.49 and 7,026.51 is: 10,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.99 : 38,613.49 = 7,026.51 : x
  2. Step 2: Convert to fraction form
    25,744.99/38,613.49 = 7,026.51/x
  3. Step 3: Cross multiply
    25,744.99x = 38,613.49 × 7,026.51
  4. Step 4: Simplify right side
    25,744.99x = 271,318,073.62
  5. Step 5: Solve for x
    x = 271,318,073.62/25,744.99
  6. Step 6: Final answer
    x = 10,538.67

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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.