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Finding the Fourth Proportional to 12,038.88, 16,614.30 and 6,733.38

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Solution

The fourth proportional to 12,038.88, 16,614.30 and 6,733.38 is: 9,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.88 : 16,614.30 = 6,733.38 : x
  2. Step 2: Convert to fraction form
    12,038.88/16,614.30 = 6,733.38/x
  3. Step 3: Cross multiply
    12,038.88x = 16,614.30 × 6,733.38
  4. Step 4: Simplify right side
    12,038.88x = 111,870,395.33
  5. Step 5: Solve for x
    x = 111,870,395.33/12,038.88
  6. Step 6: Final answer
    x = 9,292.43

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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.