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Finding the Fourth Proportional to 23,668.08, 32,800.02 and 23,334

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Solution

The fourth proportional to 23,668.08, 32,800.02 and 23,334 is: 32,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.08 : 32,800.02 = 23,334 : x
  2. Step 2: Convert to fraction form
    23,668.08/32,800.02 = 23,334/x
  3. Step 3: Cross multiply
    23,668.08x = 32,800.02 × 23,334
  4. Step 4: Simplify right side
    23,668.08x = 765,355,666.68
  5. Step 5: Solve for x
    x = 765,355,666.68/23,668.08
  6. Step 6: Final answer
    x = 32,337.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.