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Finding the Fourth Proportional to 30,965.16, 42,731.96 and 16,818

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Solution

The fourth proportional to 30,965.16, 42,731.96 and 16,818 is: 23,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.16 : 42,731.96 = 16,818 : x
  2. Step 2: Convert to fraction form
    30,965.16/42,731.96 = 16,818/x
  3. Step 3: Cross multiply
    30,965.16x = 42,731.96 × 16,818
  4. Step 4: Simplify right side
    30,965.16x = 718,666,103.28
  5. Step 5: Solve for x
    x = 718,666,103.28/30,965.16
  6. Step 6: Final answer
    x = 23,208.86

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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.