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Finding the Fourth Proportional to 22,714.21, 34,076.76 and 7,131.84

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Solution

The fourth proportional to 22,714.21, 34,076.76 and 7,131.84 is: 10,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.21 : 34,076.76 = 7,131.84 : x
  2. Step 2: Convert to fraction form
    22,714.21/34,076.76 = 7,131.84/x
  3. Step 3: Cross multiply
    22,714.21x = 34,076.76 × 7,131.84
  4. Step 4: Simplify right side
    22,714.21x = 243,030,000.04
  5. Step 5: Solve for x
    x = 243,030,000.04/22,714.21
  6. Step 6: Final answer
    x = 10,699.47

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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.