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Finding the Fourth Proportional to 14,217.14, 21,281.97 and 9,276.14

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Solution

The fourth proportional to 14,217.14, 21,281.97 and 9,276.14 is: 13,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.14 : 21,281.97 = 9,276.14 : x
  2. Step 2: Convert to fraction form
    14,217.14/21,281.97 = 9,276.14/x
  3. Step 3: Cross multiply
    14,217.14x = 21,281.97 × 9,276.14
  4. Step 4: Simplify right side
    14,217.14x = 197,414,621.19
  5. Step 5: Solve for x
    x = 197,414,621.19/14,217.14
  6. Step 6: Final answer
    x = 13,885.68

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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.