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Finding the Fourth Proportional to 23,406.92, 35,106.58 and 7,824.52

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Solution

The fourth proportional to 23,406.92, 35,106.58 and 7,824.52 is: 11,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.92 : 35,106.58 = 7,824.52 : x
  2. Step 2: Convert to fraction form
    23,406.92/35,106.58 = 7,824.52/x
  3. Step 3: Cross multiply
    23,406.92x = 35,106.58 × 7,824.52
  4. Step 4: Simplify right side
    23,406.92x = 274,692,137.34
  5. Step 5: Solve for x
    x = 274,692,137.34/23,406.92
  6. Step 6: Final answer
    x = 11,735.51

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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.