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Finding the Fourth Proportional to 14,204.79, 19,600.38 and 8,235.23

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Solution

The fourth proportional to 14,204.79, 19,600.38 and 8,235.23 is: 11,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.79 : 19,600.38 = 8,235.23 : x
  2. Step 2: Convert to fraction form
    14,204.79/19,600.38 = 8,235.23/x
  3. Step 3: Cross multiply
    14,204.79x = 19,600.38 × 8,235.23
  4. Step 4: Simplify right side
    14,204.79x = 161,413,539.39
  5. Step 5: Solve for x
    x = 161,413,539.39/14,204.79
  6. Step 6: Final answer
    x = 11,363.32

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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.