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Finding the Fourth Proportional to 14,281.99, 21,428.12 and 6,383.84

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Solution

The fourth proportional to 14,281.99, 21,428.12 and 6,383.84 is: 9,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.99 : 21,428.12 = 6,383.84 : x
  2. Step 2: Convert to fraction form
    14,281.99/21,428.12 = 6,383.84/x
  3. Step 3: Cross multiply
    14,281.99x = 21,428.12 × 6,383.84
  4. Step 4: Simplify right side
    14,281.99x = 136,793,604.09
  5. Step 5: Solve for x
    x = 136,793,604.09/14,281.99
  6. Step 6: Final answer
    x = 9,578.05

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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.