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Finding the Fourth Proportional to 14,304.25, 21,457.86 and 3,916

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Solution

The fourth proportional to 14,304.25, 21,457.86 and 3,916 is: 5,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.25 : 21,457.86 = 3,916 : x
  2. Step 2: Convert to fraction form
    14,304.25/21,457.86 = 3,916/x
  3. Step 3: Cross multiply
    14,304.25x = 21,457.86 × 3,916
  4. Step 4: Simplify right side
    14,304.25x = 84,028,979.76
  5. Step 5: Solve for x
    x = 84,028,979.76/14,304.25
  6. Step 6: Final answer
    x = 5,874.41

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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.