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Finding the Fourth Proportional to 23,187.24, 34,780.86 and 9,333

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Solution

The fourth proportional to 23,187.24, 34,780.86 and 9,333 is: 13,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.24 : 34,780.86 = 9,333 : x
  2. Step 2: Convert to fraction form
    23,187.24/34,780.86 = 9,333/x
  3. Step 3: Cross multiply
    23,187.24x = 34,780.86 × 9,333
  4. Step 4: Simplify right side
    23,187.24x = 324,609,766.38
  5. Step 5: Solve for x
    x = 324,609,766.38/23,187.24
  6. Step 6: Final answer
    x = 13,999.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.