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Finding the Fourth Proportional to 23,778.90, 32,714.28 and 23,122.80

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Solution

The fourth proportional to 23,778.90, 32,714.28 and 23,122.80 is: 31,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.90 : 32,714.28 = 23,122.80 : x
  2. Step 2: Convert to fraction form
    23,778.90/32,714.28 = 23,122.80/x
  3. Step 3: Cross multiply
    23,778.90x = 32,714.28 × 23,122.80
  4. Step 4: Simplify right side
    23,778.90x = 756,445,753.58
  5. Step 5: Solve for x
    x = 756,445,753.58/23,778.90
  6. Step 6: Final answer
    x = 31,811.64

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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.