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Finding the Fourth Proportional to 20,047.68, 30,075.84 and 8,354.88

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Solution

The fourth proportional to 20,047.68, 30,075.84 and 8,354.88 is: 12,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.68 : 30,075.84 = 8,354.88 : x
  2. Step 2: Convert to fraction form
    20,047.68/30,075.84 = 8,354.88/x
  3. Step 3: Cross multiply
    20,047.68x = 30,075.84 × 8,354.88
  4. Step 4: Simplify right side
    20,047.68x = 251,280,034.10
  5. Step 5: Solve for x
    x = 251,280,034.10/20,047.68
  6. Step 6: Final answer
    x = 12,534.12

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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.