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Finding the Fourth Proportional to 12,027.56, 16,600.06 and 7,555.16

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Solution

The fourth proportional to 12,027.56, 16,600.06 and 7,555.16 is: 10,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.56 : 16,600.06 = 7,555.16 : x
  2. Step 2: Convert to fraction form
    12,027.56/16,600.06 = 7,555.16/x
  3. Step 3: Cross multiply
    12,027.56x = 16,600.06 × 7,555.16
  4. Step 4: Simplify right side
    12,027.56x = 125,416,109.31
  5. Step 5: Solve for x
    x = 125,416,109.31/12,027.56
  6. Step 6: Final answer
    x = 10,427.39

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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.