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Finding the Fourth Proportional to 23,186.22, 34,782.03 and 7,385.70

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Solution

The fourth proportional to 23,186.22, 34,782.03 and 7,385.70 is: 11,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.22 : 34,782.03 = 7,385.70 : x
  2. Step 2: Convert to fraction form
    23,186.22/34,782.03 = 7,385.70/x
  3. Step 3: Cross multiply
    23,186.22x = 34,782.03 × 7,385.70
  4. Step 4: Simplify right side
    23,186.22x = 256,889,638.97
  5. Step 5: Solve for x
    x = 256,889,638.97/23,186.22
  6. Step 6: Final answer
    x = 11,079.41

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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.