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Finding the Fourth Proportional to 18,269.64, 27,409.32 and 5,790

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Solution

The fourth proportional to 18,269.64, 27,409.32 and 5,790 is: 8,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,269.64 : 27,409.32 = 5,790 : x
  2. Step 2: Convert to fraction form
    18,269.64/27,409.32 = 5,790/x
  3. Step 3: Cross multiply
    18,269.64x = 27,409.32 × 5,790
  4. Step 4: Simplify right side
    18,269.64x = 158,699,962.80
  5. Step 5: Solve for x
    x = 158,699,962.80/18,269.64
  6. Step 6: Final answer
    x = 8,686.54

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