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Finding the Fourth Proportional to 22,514.40, 31,078.62 and 20,152.44

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Solution

The fourth proportional to 22,514.40, 31,078.62 and 20,152.44 is: 27,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.40 : 31,078.62 = 20,152.44 : x
  2. Step 2: Convert to fraction form
    22,514.40/31,078.62 = 20,152.44/x
  3. Step 3: Cross multiply
    22,514.40x = 31,078.62 × 20,152.44
  4. Step 4: Simplify right side
    22,514.40x = 626,310,024.83
  5. Step 5: Solve for x
    x = 626,310,024.83/22,514.40
  6. Step 6: Final answer
    x = 27,818.20

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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.