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Finding the Fourth Proportional to 23,013.60, 34,494.24 and 9,859.20

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Solution

The fourth proportional to 23,013.60, 34,494.24 and 9,859.20 is: 14,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.60 : 34,494.24 = 9,859.20 : x
  2. Step 2: Convert to fraction form
    23,013.60/34,494.24 = 9,859.20/x
  3. Step 3: Cross multiply
    23,013.60x = 34,494.24 × 9,859.20
  4. Step 4: Simplify right side
    23,013.60x = 340,085,611.01
  5. Step 5: Solve for x
    x = 340,085,611.01/23,013.60
  6. Step 6: Final answer
    x = 14,777.59

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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.