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Finding the Fourth Proportional to 14,216.18, 21,324.40 and 5,449

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Solution

The fourth proportional to 14,216.18, 21,324.40 and 5,449 is: 8,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.18 : 21,324.40 = 5,449 : x
  2. Step 2: Convert to fraction form
    14,216.18/21,324.40 = 5,449/x
  3. Step 3: Cross multiply
    14,216.18x = 21,324.40 × 5,449
  4. Step 4: Simplify right side
    14,216.18x = 116,196,655.60
  5. Step 5: Solve for x
    x = 116,196,655.60/14,216.18
  6. Step 6: Final answer
    x = 8,173.55

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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.