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Finding the Fourth Proportional to 14,141.90, 21,206.77 and 7,119.20

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Solution

The fourth proportional to 14,141.90, 21,206.77 and 7,119.20 is: 10,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.90 : 21,206.77 = 7,119.20 : x
  2. Step 2: Convert to fraction form
    14,141.90/21,206.77 = 7,119.20/x
  3. Step 3: Cross multiply
    14,141.90x = 21,206.77 × 7,119.20
  4. Step 4: Simplify right side
    14,141.90x = 150,975,236.98
  5. Step 5: Solve for x
    x = 150,975,236.98/14,141.90
  6. Step 6: Final answer
    x = 10,675.74

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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.