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Finding the Fourth Proportional to 30,271.32, 41,774.62 and 16,843.14

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Solution

The fourth proportional to 30,271.32, 41,774.62 and 16,843.14 is: 23,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.32 : 41,774.62 = 16,843.14 : x
  2. Step 2: Convert to fraction form
    30,271.32/41,774.62 = 16,843.14/x
  3. Step 3: Cross multiply
    30,271.32x = 41,774.62 × 16,843.14
  4. Step 4: Simplify right side
    30,271.32x = 703,615,606.34
  5. Step 5: Solve for x
    x = 703,615,606.34/30,271.32
  6. Step 6: Final answer
    x = 23,243.64

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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.