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Finding the Fourth Proportional to 30,162.64, 41,615.88 and 17,584.96

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Solution

The fourth proportional to 30,162.64, 41,615.88 and 17,584.96 is: 24,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.64 : 41,615.88 = 17,584.96 : x
  2. Step 2: Convert to fraction form
    30,162.64/41,615.88 = 17,584.96/x
  3. Step 3: Cross multiply
    30,162.64x = 41,615.88 × 17,584.96
  4. Step 4: Simplify right side
    30,162.64x = 731,813,585.16
  5. Step 5: Solve for x
    x = 731,813,585.16/30,162.64
  6. Step 6: Final answer
    x = 24,262.25

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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.