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Finding the Fourth Proportional to 25,493.87, 38,236.85 and 13,023.11

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Solution

The fourth proportional to 25,493.87, 38,236.85 and 13,023.11 is: 19,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.87 : 38,236.85 = 13,023.11 : x
  2. Step 2: Convert to fraction form
    25,493.87/38,236.85 = 13,023.11/x
  3. Step 3: Cross multiply
    25,493.87x = 38,236.85 × 13,023.11
  4. Step 4: Simplify right side
    25,493.87x = 497,962,639.53
  5. Step 5: Solve for x
    x = 497,962,639.53/25,493.87
  6. Step 6: Final answer
    x = 19,532.64

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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.