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Finding the Fourth Proportional to 20,347.83, 30,497.16 and 9,243.36

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Solution

The fourth proportional to 20,347.83, 30,497.16 and 9,243.36 is: 13,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.83 : 30,497.16 = 9,243.36 : x
  2. Step 2: Convert to fraction form
    20,347.83/30,497.16 = 9,243.36/x
  3. Step 3: Cross multiply
    20,347.83x = 30,497.16 × 9,243.36
  4. Step 4: Simplify right side
    20,347.83x = 281,896,228.86
  5. Step 5: Solve for x
    x = 281,896,228.86/20,347.83
  6. Step 6: Final answer
    x = 13,853.87

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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.