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Finding the Fourth Proportional to 14,097.60, 21,146.49 and 5,219.55

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Solution

The fourth proportional to 14,097.60, 21,146.49 and 5,219.55 is: 7,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.60 : 21,146.49 = 5,219.55 : x
  2. Step 2: Convert to fraction form
    14,097.60/21,146.49 = 5,219.55/x
  3. Step 3: Cross multiply
    14,097.60x = 21,146.49 × 5,219.55
  4. Step 4: Simplify right side
    14,097.60x = 110,375,161.88
  5. Step 5: Solve for x
    x = 110,375,161.88/14,097.60
  6. Step 6: Final answer
    x = 7,829.36

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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.