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Finding the Fourth Proportional to 20,457.97, 30,700.01 and 13,452.08

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Solution

The fourth proportional to 20,457.97, 30,700.01 and 13,452.08 is: 20,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.97 : 30,700.01 = 13,452.08 : x
  2. Step 2: Convert to fraction form
    20,457.97/30,700.01 = 13,452.08/x
  3. Step 3: Cross multiply
    20,457.97x = 30,700.01 × 13,452.08
  4. Step 4: Simplify right side
    20,457.97x = 412,978,870.65
  5. Step 5: Solve for x
    x = 412,978,870.65/20,457.97
  6. Step 6: Final answer
    x = 20,186.70

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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.