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Finding the Fourth Proportional to 22,433.78, 30,958.48 and 12,362

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Solution

The fourth proportional to 22,433.78, 30,958.48 and 12,362 is: 17,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.78 : 30,958.48 = 12,362 : x
  2. Step 2: Convert to fraction form
    22,433.78/30,958.48 = 12,362/x
  3. Step 3: Cross multiply
    22,433.78x = 30,958.48 × 12,362
  4. Step 4: Simplify right side
    22,433.78x = 382,708,729.76
  5. Step 5: Solve for x
    x = 382,708,729.76/22,433.78
  6. Step 6: Final answer
    x = 17,059.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.