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Finding the Fourth Proportional to 22,714.01, 31,371.67 and 15,148

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Solution

The fourth proportional to 22,714.01, 31,371.67 and 15,148 is: 20,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.01 : 31,371.67 = 15,148 : x
  2. Step 2: Convert to fraction form
    22,714.01/31,371.67 = 15,148/x
  3. Step 3: Cross multiply
    22,714.01x = 31,371.67 × 15,148
  4. Step 4: Simplify right side
    22,714.01x = 475,218,057.16
  5. Step 5: Solve for x
    x = 475,218,057.16/22,714.01
  6. Step 6: Final answer
    x = 20,921.80

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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.