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Finding the Fourth Proportional to 20,133.90, 30,206.07 and 7,654.14

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Solution

The fourth proportional to 20,133.90, 30,206.07 and 7,654.14 is: 11,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.90 : 30,206.07 = 7,654.14 : x
  2. Step 2: Convert to fraction form
    20,133.90/30,206.07 = 7,654.14/x
  3. Step 3: Cross multiply
    20,133.90x = 30,206.07 × 7,654.14
  4. Step 4: Simplify right side
    20,133.90x = 231,201,488.63
  5. Step 5: Solve for x
    x = 231,201,488.63/20,133.90
  6. Step 6: Final answer
    x = 11,483.19

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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.