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Finding the Fourth Proportional to 14,043.37, 21,048.18 and 6,142.54

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Solution

The fourth proportional to 14,043.37, 21,048.18 and 6,142.54 is: 9,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.37 : 21,048.18 = 6,142.54 : x
  2. Step 2: Convert to fraction form
    14,043.37/21,048.18 = 6,142.54/x
  3. Step 3: Cross multiply
    14,043.37x = 21,048.18 × 6,142.54
  4. Step 4: Simplify right side
    14,043.37x = 129,289,287.58
  5. Step 5: Solve for x
    x = 129,289,287.58/14,043.37
  6. Step 6: Final answer
    x = 9,206.43

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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.