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Finding the Fourth Proportional to 30,283.81, 41,782.24 and 17,184.65

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Solution

The fourth proportional to 30,283.81, 41,782.24 and 17,184.65 is: 23,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.81 : 41,782.24 = 17,184.65 : x
  2. Step 2: Convert to fraction form
    30,283.81/41,782.24 = 17,184.65/x
  3. Step 3: Cross multiply
    30,283.81x = 41,782.24 × 17,184.65
  4. Step 4: Simplify right side
    30,283.81x = 718,013,170.62
  5. Step 5: Solve for x
    x = 718,013,170.62/30,283.81
  6. Step 6: Final answer
    x = 23,709.47

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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.