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Finding the Fourth Proportional to 12,029.56, 16,600.50 and 6,725

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Solution

The fourth proportional to 12,029.56, 16,600.50 and 6,725 is: 9,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.56 : 16,600.50 = 6,725 : x
  2. Step 2: Convert to fraction form
    12,029.56/16,600.50 = 6,725/x
  3. Step 3: Cross multiply
    12,029.56x = 16,600.50 × 6,725
  4. Step 4: Simplify right side
    12,029.56x = 111,638,362.50
  5. Step 5: Solve for x
    x = 111,638,362.50/12,029.56
  6. Step 6: Final answer
    x = 9,280.34

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