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Finding the Fourth Proportional to 20,443.92, 30,642.69 and 9,208.47

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Solution

The fourth proportional to 20,443.92, 30,642.69 and 9,208.47 is: 13,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.92 : 30,642.69 = 9,208.47 : x
  2. Step 2: Convert to fraction form
    20,443.92/30,642.69 = 9,208.47/x
  3. Step 3: Cross multiply
    20,443.92x = 30,642.69 × 9,208.47
  4. Step 4: Simplify right side
    20,443.92x = 282,172,161.94
  5. Step 5: Solve for x
    x = 282,172,161.94/20,443.92
  6. Step 6: Final answer
    x = 13,802.25

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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.