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Finding the Fourth Proportional to 20,084.50, 30,087.53 and 9,539.51

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Solution

The fourth proportional to 20,084.50, 30,087.53 and 9,539.51 is: 14,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.50 : 30,087.53 = 9,539.51 : x
  2. Step 2: Convert to fraction form
    20,084.50/30,087.53 = 9,539.51/x
  3. Step 3: Cross multiply
    20,084.50x = 30,087.53 × 9,539.51
  4. Step 4: Simplify right side
    20,084.50x = 287,020,293.31
  5. Step 5: Solve for x
    x = 287,020,293.31/20,084.50
  6. Step 6: Final answer
    x = 14,290.64

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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.