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Finding the Fourth Proportional to 20,343, 28,075.80 and 11,959.50

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Solution

The fourth proportional to 20,343, 28,075.80 and 11,959.50 is: 16,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343 : 28,075.80 = 11,959.50 : x
  2. Step 2: Convert to fraction form
    20,343/28,075.80 = 11,959.50/x
  3. Step 3: Cross multiply
    20,343x = 28,075.80 × 11,959.50
  4. Step 4: Simplify right side
    20,343x = 335,772,530.10
  5. Step 5: Solve for x
    x = 335,772,530.10/20,343
  6. Step 6: Final answer
    x = 16,505.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.