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Finding the Fourth Proportional to 14,506.56, 21,757.92 and 4,119.36

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Solution

The fourth proportional to 14,506.56, 21,757.92 and 4,119.36 is: 6,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.56 : 21,757.92 = 4,119.36 : x
  2. Step 2: Convert to fraction form
    14,506.56/21,757.92 = 4,119.36/x
  3. Step 3: Cross multiply
    14,506.56x = 21,757.92 × 4,119.36
  4. Step 4: Simplify right side
    14,506.56x = 89,628,705.33
  5. Step 5: Solve for x
    x = 89,628,705.33/14,506.56
  6. Step 6: Final answer
    x = 6,178.49

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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.