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Finding the Fourth Proportional to 14,262.28, 19,679.56 and 8,294.20

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Solution

The fourth proportional to 14,262.28, 19,679.56 and 8,294.20 is: 11,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.28 : 19,679.56 = 8,294.20 : x
  2. Step 2: Convert to fraction form
    14,262.28/19,679.56 = 8,294.20/x
  3. Step 3: Cross multiply
    14,262.28x = 19,679.56 × 8,294.20
  4. Step 4: Simplify right side
    14,262.28x = 163,226,136.62
  5. Step 5: Solve for x
    x = 163,226,136.62/14,262.28
  6. Step 6: Final answer
    x = 11,444.61

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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.