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Finding the Fourth Proportional to 15,674.00, 21,629.70 and 8,600.36

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Solution

The fourth proportional to 15,674.00, 21,629.70 and 8,600.36 is: 11,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.00 : 21,629.70 = 8,600.36 : x
  2. Step 2: Convert to fraction form
    15,674.00/21,629.70 = 8,600.36/x
  3. Step 3: Cross multiply
    15,674.00x = 21,629.70 × 8,600.36
  4. Step 4: Simplify right side
    15,674.00x = 186,023,098.54
  5. Step 5: Solve for x
    x = 186,023,098.54/15,674.00
  6. Step 6: Final answer
    x = 11,868.26

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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.