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Finding the Fourth Proportional to 12,753.22, 17,590.08 and 7,447.72

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Solution

The fourth proportional to 12,753.22, 17,590.08 and 7,447.72 is: 10,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.22 : 17,590.08 = 7,447.72 : x
  2. Step 2: Convert to fraction form
    12,753.22/17,590.08 = 7,447.72/x
  3. Step 3: Cross multiply
    12,753.22x = 17,590.08 × 7,447.72
  4. Step 4: Simplify right side
    12,753.22x = 131,005,990.62
  5. Step 5: Solve for x
    x = 131,005,990.62/12,753.22
  6. Step 6: Final answer
    x = 10,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.