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Finding the Fourth Proportional to 15,954, 23,930.16 and 4,860.46

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Solution

The fourth proportional to 15,954, 23,930.16 and 4,860.46 is: 7,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954 : 23,930.16 = 4,860.46 : x
  2. Step 2: Convert to fraction form
    15,954/23,930.16 = 4,860.46/x
  3. Step 3: Cross multiply
    15,954x = 23,930.16 × 4,860.46
  4. Step 4: Simplify right side
    15,954x = 116,311,585.47
  5. Step 5: Solve for x
    x = 116,311,585.47/15,954
  6. Step 6: Final answer
    x = 7,290.43

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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.