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Finding the Fourth Proportional to 20,577.70, 30,865.02 and 7,430.09

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Solution

The fourth proportional to 20,577.70, 30,865.02 and 7,430.09 is: 11,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.70 : 30,865.02 = 7,430.09 : x
  2. Step 2: Convert to fraction form
    20,577.70/30,865.02 = 7,430.09/x
  3. Step 3: Cross multiply
    20,577.70x = 30,865.02 × 7,430.09
  4. Step 4: Simplify right side
    20,577.70x = 229,329,843.76
  5. Step 5: Solve for x
    x = 229,329,843.76/20,577.70
  6. Step 6: Final answer
    x = 11,144.58

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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.