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Finding the Fourth Proportional to 29,766.54, 41,071.41 and 17,184

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Solution

The fourth proportional to 29,766.54, 41,071.41 and 17,184 is: 23,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766.54 : 41,071.41 = 17,184 : x
  2. Step 2: Convert to fraction form
    29,766.54/41,071.41 = 17,184/x
  3. Step 3: Cross multiply
    29,766.54x = 41,071.41 × 17,184
  4. Step 4: Simplify right side
    29,766.54x = 705,771,109.44
  5. Step 5: Solve for x
    x = 705,771,109.44/29,766.54
  6. Step 6: Final answer
    x = 23,710.22

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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.