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Finding the Fourth Proportional to 11,714.76, 17,556.66 and 7,019.64

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Solution

The fourth proportional to 11,714.76, 17,556.66 and 7,019.64 is: 10,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.76 : 17,556.66 = 7,019.64 : x
  2. Step 2: Convert to fraction form
    11,714.76/17,556.66 = 7,019.64/x
  3. Step 3: Cross multiply
    11,714.76x = 17,556.66 × 7,019.64
  4. Step 4: Simplify right side
    11,714.76x = 123,241,432.80
  5. Step 5: Solve for x
    x = 123,241,432.80/11,714.76
  6. Step 6: Final answer
    x = 10,520.18

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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.