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Finding the Fourth Proportional to 20,075.63, 30,072.55 and 9,513.64

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Solution

The fourth proportional to 20,075.63, 30,072.55 and 9,513.64 is: 14,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.63 : 30,072.55 = 9,513.64 : x
  2. Step 2: Convert to fraction form
    20,075.63/30,072.55 = 9,513.64/x
  3. Step 3: Cross multiply
    20,075.63x = 30,072.55 × 9,513.64
  4. Step 4: Simplify right side
    20,075.63x = 286,099,216.65
  5. Step 5: Solve for x
    x = 286,099,216.65/20,075.63
  6. Step 6: Final answer
    x = 14,251.07

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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.