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Finding the Fourth Proportional to 14,041.42, 21,062.09 and 5,719.61

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Solution

The fourth proportional to 14,041.42, 21,062.09 and 5,719.61 is: 8,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.42 : 21,062.09 = 5,719.61 : x
  2. Step 2: Convert to fraction form
    14,041.42/21,062.09 = 5,719.61/x
  3. Step 3: Cross multiply
    14,041.42x = 21,062.09 × 5,719.61
  4. Step 4: Simplify right side
    14,041.42x = 120,467,007.54
  5. Step 5: Solve for x
    x = 120,467,007.54/14,041.42
  6. Step 6: Final answer
    x = 8,579.41

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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.