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Finding the Fourth Proportional to 14,302.35, 19,738.53 and 8,638.83

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Solution

The fourth proportional to 14,302.35, 19,738.53 and 8,638.83 is: 11,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.35 : 19,738.53 = 8,638.83 : x
  2. Step 2: Convert to fraction form
    14,302.35/19,738.53 = 8,638.83/x
  3. Step 3: Cross multiply
    14,302.35x = 19,738.53 × 8,638.83
  4. Step 4: Simplify right side
    14,302.35x = 170,517,805.12
  5. Step 5: Solve for x
    x = 170,517,805.12/14,302.35
  6. Step 6: Final answer
    x = 11,922.36

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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.