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Finding the Fourth Proportional to 24,912, 34,378.56 and 13,735.04

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Solution

The fourth proportional to 24,912, 34,378.56 and 13,735.04 is: 18,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 34,378.56 = 13,735.04 : x
  2. Step 2: Convert to fraction form
    24,912/34,378.56 = 13,735.04/x
  3. Step 3: Cross multiply
    24,912x = 34,378.56 × 13,735.04
  4. Step 4: Simplify right side
    24,912x = 472,190,896.74
  5. Step 5: Solve for x
    x = 472,190,896.74/24,912
  6. Step 6: Final answer
    x = 18,954.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.