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Finding the Fourth Proportional to 30,971.56, 42,741.22 and 16,824.68

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Solution

The fourth proportional to 30,971.56, 42,741.22 and 16,824.68 is: 23,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.56 : 42,741.22 = 16,824.68 : x
  2. Step 2: Convert to fraction form
    30,971.56/42,741.22 = 16,824.68/x
  3. Step 3: Cross multiply
    30,971.56x = 42,741.22 × 16,824.68
  4. Step 4: Simplify right side
    30,971.56x = 719,107,349.31
  5. Step 5: Solve for x
    x = 719,107,349.31/30,971.56
  6. Step 6: Final answer
    x = 23,218.31

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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.