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Finding the Fourth Proportional to 25,825.23, 38,737.67 and 17,099.19

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Solution

The fourth proportional to 25,825.23, 38,737.67 and 17,099.19 is: 25,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.23 : 38,737.67 = 17,099.19 : x
  2. Step 2: Convert to fraction form
    25,825.23/38,737.67 = 17,099.19/x
  3. Step 3: Cross multiply
    25,825.23x = 38,737.67 × 17,099.19
  4. Step 4: Simplify right side
    25,825.23x = 662,382,693.99
  5. Step 5: Solve for x
    x = 662,382,693.99/25,825.23
  6. Step 6: Final answer
    x = 25,648.67

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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.