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Finding the Fourth Proportional to 18,784.72, 25,922.34 and 10,609

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Solution

The fourth proportional to 18,784.72, 25,922.34 and 10,609 is: 14,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784.72 : 25,922.34 = 10,609 : x
  2. Step 2: Convert to fraction form
    18,784.72/25,922.34 = 10,609/x
  3. Step 3: Cross multiply
    18,784.72x = 25,922.34 × 10,609
  4. Step 4: Simplify right side
    18,784.72x = 275,010,105.06
  5. Step 5: Solve for x
    x = 275,010,105.06/18,784.72
  6. Step 6: Final answer
    x = 14,640.10

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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.