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Finding the Fourth Proportional to 14,171.42, 21,254.74 and 4,039.09

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Solution

The fourth proportional to 14,171.42, 21,254.74 and 4,039.09 is: 6,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.42 : 21,254.74 = 4,039.09 : x
  2. Step 2: Convert to fraction form
    14,171.42/21,254.74 = 4,039.09/x
  3. Step 3: Cross multiply
    14,171.42x = 21,254.74 × 4,039.09
  4. Step 4: Simplify right side
    14,171.42x = 85,849,744.55
  5. Step 5: Solve for x
    x = 85,849,744.55/14,171.42
  6. Step 6: Final answer
    x = 6,057.95

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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.