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Finding the Fourth Proportional to 23,838.82, 35,762.46 and 9,806.56

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Solution

The fourth proportional to 23,838.82, 35,762.46 and 9,806.56 is: 14,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.82 : 35,762.46 = 9,806.56 : x
  2. Step 2: Convert to fraction form
    23,838.82/35,762.46 = 9,806.56/x
  3. Step 3: Cross multiply
    23,838.82x = 35,762.46 × 9,806.56
  4. Step 4: Simplify right side
    23,838.82x = 350,706,709.74
  5. Step 5: Solve for x
    x = 350,706,709.74/23,838.82
  6. Step 6: Final answer
    x = 14,711.58

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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.