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Finding the Fourth Proportional to 15,674.06, 21,622.38 and 9,297.84

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Solution

The fourth proportional to 15,674.06, 21,622.38 and 9,297.84 is: 12,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.06 : 21,622.38 = 9,297.84 : x
  2. Step 2: Convert to fraction form
    15,674.06/21,622.38 = 9,297.84/x
  3. Step 3: Cross multiply
    15,674.06x = 21,622.38 × 9,297.84
  4. Step 4: Simplify right side
    15,674.06x = 201,041,429.66
  5. Step 5: Solve for x
    x = 201,041,429.66/15,674.06
  6. Step 6: Final answer
    x = 12,826.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.