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Finding the Fourth Proportional to 30,965.65, 42,731.90 and 16,818.19

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Solution

The fourth proportional to 30,965.65, 42,731.90 and 16,818.19 is: 23,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.65 : 42,731.90 = 16,818.19 : x
  2. Step 2: Convert to fraction form
    30,965.65/42,731.90 = 16,818.19/x
  3. Step 3: Cross multiply
    30,965.65x = 42,731.90 × 16,818.19
  4. Step 4: Simplify right side
    30,965.65x = 718,673,129.17
  5. Step 5: Solve for x
    x = 718,673,129.17/30,965.65
  6. Step 6: Final answer
    x = 23,208.72

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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.