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Finding the Fourth Proportional to 23,012.52, 34,498.12 and 8,219.28

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Solution

The fourth proportional to 23,012.52, 34,498.12 and 8,219.28 is: 12,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.52 : 34,498.12 = 8,219.28 : x
  2. Step 2: Convert to fraction form
    23,012.52/34,498.12 = 8,219.28/x
  3. Step 3: Cross multiply
    23,012.52x = 34,498.12 × 8,219.28
  4. Step 4: Simplify right side
    23,012.52x = 283,549,707.75
  5. Step 5: Solve for x
    x = 283,549,707.75/23,012.52
  6. Step 6: Final answer
    x = 12,321.54

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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.