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Finding the Fourth Proportional to 17,274.80, 25,912.14 and 7,407.68

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Solution

The fourth proportional to 17,274.80, 25,912.14 and 7,407.68 is: 11,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.80 : 25,912.14 = 7,407.68 : x
  2. Step 2: Convert to fraction form
    17,274.80/25,912.14 = 7,407.68/x
  3. Step 3: Cross multiply
    17,274.80x = 25,912.14 × 7,407.68
  4. Step 4: Simplify right side
    17,274.80x = 191,948,841.24
  5. Step 5: Solve for x
    x = 191,948,841.24/17,274.80
  6. Step 6: Final answer
    x = 11,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.