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Finding the Fourth Proportional to 20,386.67, 30,538.25 and 12,041.42

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Solution

The fourth proportional to 20,386.67, 30,538.25 and 12,041.42 is: 18,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.67 : 30,538.25 = 12,041.42 : x
  2. Step 2: Convert to fraction form
    20,386.67/30,538.25 = 12,041.42/x
  3. Step 3: Cross multiply
    20,386.67x = 30,538.25 × 12,041.42
  4. Step 4: Simplify right side
    20,386.67x = 367,723,834.11
  5. Step 5: Solve for x
    x = 367,723,834.11/20,386.67
  6. Step 6: Final answer
    x = 18,037.46

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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.