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Finding the Fourth Proportional to 23,330, 32,196.68 and 13,394.64

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Solution

The fourth proportional to 23,330, 32,196.68 and 13,394.64 is: 18,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,330 : 32,196.68 = 13,394.64 : x
  2. Step 2: Convert to fraction form
    23,330/32,196.68 = 13,394.64/x
  3. Step 3: Cross multiply
    23,330x = 32,196.68 × 13,394.64
  4. Step 4: Simplify right side
    23,330x = 431,262,937.80
  5. Step 5: Solve for x
    x = 431,262,937.80/23,330
  6. Step 6: Final answer
    x = 18,485.34

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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.