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Finding the Fourth Proportional to 30,267.60, 41,768.44 and 16,838.16

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Solution

The fourth proportional to 30,267.60, 41,768.44 and 16,838.16 is: 23,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.60 : 41,768.44 = 16,838.16 : x
  2. Step 2: Convert to fraction form
    30,267.60/41,768.44 = 16,838.16/x
  3. Step 3: Cross multiply
    30,267.60x = 41,768.44 × 16,838.16
  4. Step 4: Simplify right side
    30,267.60x = 703,303,675.67
  5. Step 5: Solve for x
    x = 703,303,675.67/30,267.60
  6. Step 6: Final answer
    x = 23,236.19

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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.