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Finding the Fourth Proportional to 14,092.29, 21,149.15 and 5,216.02

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Solution

The fourth proportional to 14,092.29, 21,149.15 and 5,216.02 is: 7,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.29 : 21,149.15 = 5,216.02 : x
  2. Step 2: Convert to fraction form
    14,092.29/21,149.15 = 5,216.02/x
  3. Step 3: Cross multiply
    14,092.29x = 21,149.15 × 5,216.02
  4. Step 4: Simplify right side
    14,092.29x = 110,314,310.43
  5. Step 5: Solve for x
    x = 110,314,310.43/14,092.29
  6. Step 6: Final answer
    x = 7,827.99

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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.