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Finding the Fourth Proportional to 13,840.80, 20,767.68 and 6,048.60

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Solution

The fourth proportional to 13,840.80, 20,767.68 and 6,048.60 is: 9,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.80 : 20,767.68 = 6,048.60 : x
  2. Step 2: Convert to fraction form
    13,840.80/20,767.68 = 6,048.60/x
  3. Step 3: Cross multiply
    13,840.80x = 20,767.68 × 6,048.60
  4. Step 4: Simplify right side
    13,840.80x = 125,615,389.25
  5. Step 5: Solve for x
    x = 125,615,389.25/13,840.80
  6. Step 6: Final answer
    x = 9,075.73

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