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Finding the Fourth Proportional to 30,941.64, 42,699.22 and 16,794.16

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Solution

The fourth proportional to 30,941.64, 42,699.22 and 16,794.16 is: 23,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.64 : 42,699.22 = 16,794.16 : x
  2. Step 2: Convert to fraction form
    30,941.64/42,699.22 = 16,794.16/x
  3. Step 3: Cross multiply
    30,941.64x = 42,699.22 × 16,794.16
  4. Step 4: Simplify right side
    30,941.64x = 717,097,532.56
  5. Step 5: Solve for x
    x = 717,097,532.56/30,941.64
  6. Step 6: Final answer
    x = 23,175.81

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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.