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Finding the Fourth Proportional to 18,380, 25,364.40 and 9,996.68

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Solution

The fourth proportional to 18,380, 25,364.40 and 9,996.68 is: 13,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380 : 25,364.40 = 9,996.68 : x
  2. Step 2: Convert to fraction form
    18,380/25,364.40 = 9,996.68/x
  3. Step 3: Cross multiply
    18,380x = 25,364.40 × 9,996.68
  4. Step 4: Simplify right side
    18,380x = 253,559,790.19
  5. Step 5: Solve for x
    x = 253,559,790.19/18,380
  6. Step 6: Final answer
    x = 13,795.42

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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.