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Finding the Fourth Proportional to 11,347.52, 17,024.52 and 8,230.64

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Solution

The fourth proportional to 11,347.52, 17,024.52 and 8,230.64 is: 12,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.52 : 17,024.52 = 8,230.64 : x
  2. Step 2: Convert to fraction form
    11,347.52/17,024.52 = 8,230.64/x
  3. Step 3: Cross multiply
    11,347.52x = 17,024.52 × 8,230.64
  4. Step 4: Simplify right side
    11,347.52x = 140,122,695.29
  5. Step 5: Solve for x
    x = 140,122,695.29/11,347.52
  6. Step 6: Final answer
    x = 12,348.31

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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.