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Finding the Fourth Proportional to 20,352.98, 30,477.63 and 13,406.42

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Solution

The fourth proportional to 20,352.98, 30,477.63 and 13,406.42 is: 20,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352.98 : 30,477.63 = 13,406.42 : x
  2. Step 2: Convert to fraction form
    20,352.98/30,477.63 = 13,406.42/x
  3. Step 3: Cross multiply
    20,352.98x = 30,477.63 × 13,406.42
  4. Step 4: Simplify right side
    20,352.98x = 408,595,908.38
  5. Step 5: Solve for x
    x = 408,595,908.38/20,352.98
  6. Step 6: Final answer
    x = 20,075.48

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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.