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Finding the Fourth Proportional to 22,714.16, 31,343.37 and 16,749.05

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Solution

The fourth proportional to 22,714.16, 31,343.37 and 16,749.05 is: 23,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.16 : 31,343.37 = 16,749.05 : x
  2. Step 2: Convert to fraction form
    22,714.16/31,343.37 = 16,749.05/x
  3. Step 3: Cross multiply
    22,714.16x = 31,343.37 × 16,749.05
  4. Step 4: Simplify right side
    22,714.16x = 524,971,671.30
  5. Step 5: Solve for x
    x = 524,971,671.30/22,714.16
  6. Step 6: Final answer
    x = 23,112.09

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