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Finding the Fourth Proportional to 15,838.40, 23,806.20 and 15,546.80

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Solution

The fourth proportional to 15,838.40, 23,806.20 and 15,546.80 is: 23,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.40 : 23,806.20 = 15,546.80 : x
  2. Step 2: Convert to fraction form
    15,838.40/23,806.20 = 15,546.80/x
  3. Step 3: Cross multiply
    15,838.40x = 23,806.20 × 15,546.80
  4. Step 4: Simplify right side
    15,838.40x = 370,110,230.16
  5. Step 5: Solve for x
    x = 370,110,230.16/15,838.40
  6. Step 6: Final answer
    x = 23,367.91

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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.