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Finding the Fourth Proportional to 14,193.41, 21,294.28 and 4,198.42

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Solution

The fourth proportional to 14,193.41, 21,294.28 and 4,198.42 is: 6,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.41 : 21,294.28 = 4,198.42 : x
  2. Step 2: Convert to fraction form
    14,193.41/21,294.28 = 4,198.42/x
  3. Step 3: Cross multiply
    14,193.41x = 21,294.28 × 4,198.42
  4. Step 4: Simplify right side
    14,193.41x = 89,402,315.25
  5. Step 5: Solve for x
    x = 89,402,315.25/14,193.41
  6. Step 6: Final answer
    x = 6,298.86

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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.