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Finding the Fourth Proportional to 14,039.30, 21,040.74 and 5,709.62

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Solution

The fourth proportional to 14,039.30, 21,040.74 and 5,709.62 is: 8,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.30 : 21,040.74 = 5,709.62 : x
  2. Step 2: Convert to fraction form
    14,039.30/21,040.74 = 5,709.62/x
  3. Step 3: Cross multiply
    14,039.30x = 21,040.74 × 5,709.62
  4. Step 4: Simplify right side
    14,039.30x = 120,134,629.92
  5. Step 5: Solve for x
    x = 120,134,629.92/14,039.30
  6. Step 6: Final answer
    x = 8,557.02

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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.