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Finding the Fourth Proportional to 14,236.74, 21,340.25 and 4,874

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Solution

The fourth proportional to 14,236.74, 21,340.25 and 4,874 is: 7,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.74 : 21,340.25 = 4,874 : x
  2. Step 2: Convert to fraction form
    14,236.74/21,340.25 = 4,874/x
  3. Step 3: Cross multiply
    14,236.74x = 21,340.25 × 4,874
  4. Step 4: Simplify right side
    14,236.74x = 104,012,378.50
  5. Step 5: Solve for x
    x = 104,012,378.50/14,236.74
  6. Step 6: Final answer
    x = 7,305.91

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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.