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Finding the Fourth Proportional to 20,140.02, 30,202.27 and 7,653.47

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Solution

The fourth proportional to 20,140.02, 30,202.27 and 7,653.47 is: 11,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.02 : 30,202.27 = 7,653.47 : x
  2. Step 2: Convert to fraction form
    20,140.02/30,202.27 = 7,653.47/x
  3. Step 3: Cross multiply
    20,140.02x = 30,202.27 × 7,653.47
  4. Step 4: Simplify right side
    20,140.02x = 231,151,997.23
  5. Step 5: Solve for x
    x = 231,151,997.23/20,140.02
  6. Step 6: Final answer
    x = 11,477.25

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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.