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Finding the Fourth Proportional to 12,021.30, 16,589.67 and 6,643.74

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Solution

The fourth proportional to 12,021.30, 16,589.67 and 6,643.74 is: 9,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.30 : 16,589.67 = 6,643.74 : x
  2. Step 2: Convert to fraction form
    12,021.30/16,589.67 = 6,643.74/x
  3. Step 3: Cross multiply
    12,021.30x = 16,589.67 × 6,643.74
  4. Step 4: Simplify right side
    12,021.30x = 110,217,454.17
  5. Step 5: Solve for x
    x = 110,217,454.17/12,021.30
  6. Step 6: Final answer
    x = 9,168.51

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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.