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Finding the Fourth Proportional to 12,714.40, 19,083.86 and 6,145.20

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Solution

The fourth proportional to 12,714.40, 19,083.86 and 6,145.20 is: 9,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.40 : 19,083.86 = 6,145.20 : x
  2. Step 2: Convert to fraction form
    12,714.40/19,083.86 = 6,145.20/x
  3. Step 3: Cross multiply
    12,714.40x = 19,083.86 × 6,145.20
  4. Step 4: Simplify right side
    12,714.40x = 117,274,136.47
  5. Step 5: Solve for x
    x = 117,274,136.47/12,714.40
  6. Step 6: Final answer
    x = 9,223.73

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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.