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Finding the Fourth Proportional to 19,049.73, 28,581.08 and 9,809.25

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Solution

The fourth proportional to 19,049.73, 28,581.08 and 9,809.25 is: 14,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.73 : 28,581.08 = 9,809.25 : x
  2. Step 2: Convert to fraction form
    19,049.73/28,581.08 = 9,809.25/x
  3. Step 3: Cross multiply
    19,049.73x = 28,581.08 × 9,809.25
  4. Step 4: Simplify right side
    19,049.73x = 280,358,909.94
  5. Step 5: Solve for x
    x = 280,358,909.94/19,049.73
  6. Step 6: Final answer
    x = 14,717.21

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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.