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Finding the Fourth Proportional to 20,140.68, 30,201.90 and 9,041.65

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Solution

The fourth proportional to 20,140.68, 30,201.90 and 9,041.65 is: 13,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.68 : 30,201.90 = 9,041.65 : x
  2. Step 2: Convert to fraction form
    20,140.68/30,201.90 = 9,041.65/x
  3. Step 3: Cross multiply
    20,140.68x = 30,201.90 × 9,041.65
  4. Step 4: Simplify right side
    20,140.68x = 273,075,009.14
  5. Step 5: Solve for x
    x = 273,075,009.14/20,140.68
  6. Step 6: Final answer
    x = 13,558.38

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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.