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Finding the Fourth Proportional to 30,209.95, 41,696.40 and 16,785.82

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Solution

The fourth proportional to 30,209.95, 41,696.40 and 16,785.82 is: 23,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.95 : 41,696.40 = 16,785.82 : x
  2. Step 2: Convert to fraction form
    30,209.95/41,696.40 = 16,785.82/x
  3. Step 3: Cross multiply
    30,209.95x = 41,696.40 × 16,785.82
  4. Step 4: Simplify right side
    30,209.95x = 699,908,265.05
  5. Step 5: Solve for x
    x = 699,908,265.05/30,209.95
  6. Step 6: Final answer
    x = 23,168.14

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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.