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Finding the Fourth Proportional to 12,039, 16,614.32 and 6,733.80

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Solution

The fourth proportional to 12,039, 16,614.32 and 6,733.80 is: 9,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039 : 16,614.32 = 6,733.80 : x
  2. Step 2: Convert to fraction form
    12,039/16,614.32 = 6,733.80/x
  3. Step 3: Cross multiply
    12,039x = 16,614.32 × 6,733.80
  4. Step 4: Simplify right side
    12,039x = 111,877,508.02
  5. Step 5: Solve for x
    x = 111,877,508.02/12,039
  6. Step 6: Final answer
    x = 9,292.92

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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.