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Finding the Fourth Proportional to 23,233.67, 32,063.12 and 12,623.94

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Solution

The fourth proportional to 23,233.67, 32,063.12 and 12,623.94 is: 17,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.67 : 32,063.12 = 12,623.94 : x
  2. Step 2: Convert to fraction form
    23,233.67/32,063.12 = 12,623.94/x
  3. Step 3: Cross multiply
    23,233.67x = 32,063.12 × 12,623.94
  4. Step 4: Simplify right side
    23,233.67x = 404,762,839.97
  5. Step 5: Solve for x
    x = 404,762,839.97/23,233.67
  6. Step 6: Final answer
    x = 17,421.39

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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.