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Finding the Fourth Proportional to 30,882.72, 42,618.25 and 16,735.57

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Solution

The fourth proportional to 30,882.72, 42,618.25 and 16,735.57 is: 23,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.72 : 42,618.25 = 16,735.57 : x
  2. Step 2: Convert to fraction form
    30,882.72/42,618.25 = 16,735.57/x
  3. Step 3: Cross multiply
    30,882.72x = 42,618.25 × 16,735.57
  4. Step 4: Simplify right side
    30,882.72x = 713,240,706.15
  5. Step 5: Solve for x
    x = 713,240,706.15/30,882.72
  6. Step 6: Final answer
    x = 23,095.14

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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.