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Finding the Fourth Proportional to 22,714.16, 34,071.54 and 7,131.78

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Solution

The fourth proportional to 22,714.16, 34,071.54 and 7,131.78 is: 10,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.16 : 34,071.54 = 7,131.78 : x
  2. Step 2: Convert to fraction form
    22,714.16/34,071.54 = 7,131.78/x
  3. Step 3: Cross multiply
    22,714.16x = 34,071.54 × 7,131.78
  4. Step 4: Simplify right side
    22,714.16x = 242,990,727.54
  5. Step 5: Solve for x
    x = 242,990,727.54/22,714.16
  6. Step 6: Final answer
    x = 10,697.76

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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.