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Finding the Fourth Proportional to 14,252.56, 21,346.98 and 8,241.28

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Solution

The fourth proportional to 14,252.56, 21,346.98 and 8,241.28 is: 12,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.56 : 21,346.98 = 8,241.28 : x
  2. Step 2: Convert to fraction form
    14,252.56/21,346.98 = 8,241.28/x
  3. Step 3: Cross multiply
    14,252.56x = 21,346.98 × 8,241.28
  4. Step 4: Simplify right side
    14,252.56x = 175,926,439.33
  5. Step 5: Solve for x
    x = 175,926,439.33/14,252.56
  6. Step 6: Final answer
    x = 12,343.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.