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Finding the Fourth Proportional to 23,468.94, 35,202.50 and 7,886.57

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Solution

The fourth proportional to 23,468.94, 35,202.50 and 7,886.57 is: 11,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.94 : 35,202.50 = 7,886.57 : x
  2. Step 2: Convert to fraction form
    23,468.94/35,202.50 = 7,886.57/x
  3. Step 3: Cross multiply
    23,468.94x = 35,202.50 × 7,886.57
  4. Step 4: Simplify right side
    23,468.94x = 277,626,794.55
  5. Step 5: Solve for x
    x = 277,626,794.55/23,468.94
  6. Step 6: Final answer
    x = 11,829.54

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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.