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Finding the Fourth Proportional to 23,166.54, 34,734.62 and 9,128.43

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Solution

The fourth proportional to 23,166.54, 34,734.62 and 9,128.43 is: 13,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.54 : 34,734.62 = 9,128.43 : x
  2. Step 2: Convert to fraction form
    23,166.54/34,734.62 = 9,128.43/x
  3. Step 3: Cross multiply
    23,166.54x = 34,734.62 × 9,128.43
  4. Step 4: Simplify right side
    23,166.54x = 317,072,570.07
  5. Step 5: Solve for x
    x = 317,072,570.07/23,166.54
  6. Step 6: Final answer
    x = 13,686.66

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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.