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Finding the Fourth Proportional to 20,605.50, 30,907.65 and 9,512.34

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Solution

The fourth proportional to 20,605.50, 30,907.65 and 9,512.34 is: 14,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.50 : 30,907.65 = 9,512.34 : x
  2. Step 2: Convert to fraction form
    20,605.50/30,907.65 = 9,512.34/x
  3. Step 3: Cross multiply
    20,605.50x = 30,907.65 × 9,512.34
  4. Step 4: Simplify right side
    20,605.50x = 294,004,075.40
  5. Step 5: Solve for x
    x = 294,004,075.40/20,605.50
  6. Step 6: Final answer
    x = 14,268.23

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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.