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Finding the Fourth Proportional to 19,062.44, 28,554.76 and 9,809

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Solution

The fourth proportional to 19,062.44, 28,554.76 and 9,809 is: 14,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,062.44 : 28,554.76 = 9,809 : x
  2. Step 2: Convert to fraction form
    19,062.44/28,554.76 = 9,809/x
  3. Step 3: Cross multiply
    19,062.44x = 28,554.76 × 9,809
  4. Step 4: Simplify right side
    19,062.44x = 280,093,640.84
  5. Step 5: Solve for x
    x = 280,093,640.84/19,062.44
  6. Step 6: Final answer
    x = 14,693.48

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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.