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Finding the Fourth Proportional to 23,684.54, 32,684.38 and 13,073.94

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Solution

The fourth proportional to 23,684.54, 32,684.38 and 13,073.94 is: 18,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.54 : 32,684.38 = 13,073.94 : x
  2. Step 2: Convert to fraction form
    23,684.54/32,684.38 = 13,073.94/x
  3. Step 3: Cross multiply
    23,684.54x = 32,684.38 × 13,073.94
  4. Step 4: Simplify right side
    23,684.54x = 427,313,590.37
  5. Step 5: Solve for x
    x = 427,313,590.37/23,684.54
  6. Step 6: Final answer
    x = 18,041.88

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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.