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Finding the Fourth Proportional to 12,025.97, 16,595.94 and 6,648.32

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Solution

The fourth proportional to 12,025.97, 16,595.94 and 6,648.32 is: 9,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.97 : 16,595.94 = 6,648.32 : x
  2. Step 2: Convert to fraction form
    12,025.97/16,595.94 = 6,648.32/x
  3. Step 3: Cross multiply
    12,025.97x = 16,595.94 × 6,648.32
  4. Step 4: Simplify right side
    12,025.97x = 110,335,139.57
  5. Step 5: Solve for x
    x = 110,335,139.57/12,025.97
  6. Step 6: Final answer
    x = 9,174.74

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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.