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Finding the Fourth Proportional to 19,401.12, 29,101.68 and 7,714.44

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Solution

The fourth proportional to 19,401.12, 29,101.68 and 7,714.44 is: 11,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401.12 : 29,101.68 = 7,714.44 : x
  2. Step 2: Convert to fraction form
    19,401.12/29,101.68 = 7,714.44/x
  3. Step 3: Cross multiply
    19,401.12x = 29,101.68 × 7,714.44
  4. Step 4: Simplify right side
    19,401.12x = 224,503,164.26
  5. Step 5: Solve for x
    x = 224,503,164.26/19,401.12
  6. Step 6: Final answer
    x = 11,571.66

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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.