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Finding the Fourth Proportional to 14,214.18, 21,321.40 and 5,447

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Solution

The fourth proportional to 14,214.18, 21,321.40 and 5,447 is: 8,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.18 : 21,321.40 = 5,447 : x
  2. Step 2: Convert to fraction form
    14,214.18/21,321.40 = 5,447/x
  3. Step 3: Cross multiply
    14,214.18x = 21,321.40 × 5,447
  4. Step 4: Simplify right side
    14,214.18x = 116,137,665.80
  5. Step 5: Solve for x
    x = 116,137,665.80/14,214.18
  6. Step 6: Final answer
    x = 8,170.55

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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.