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Finding the Fourth Proportional to 23,394.50, 35,093 and 9,356.66

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Solution

The fourth proportional to 23,394.50, 35,093 and 9,356.66 is: 14,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.50 : 35,093 = 9,356.66 : x
  2. Step 2: Convert to fraction form
    23,394.50/35,093 = 9,356.66/x
  3. Step 3: Cross multiply
    23,394.50x = 35,093 × 9,356.66
  4. Step 4: Simplify right side
    23,394.50x = 328,353,093.92
  5. Step 5: Solve for x
    x = 328,353,093.92/23,394.50
  6. Step 6: Final answer
    x = 14,035.49

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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.