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Finding the Fourth Proportional to 20,133.42, 30,200.15 and 7,650.51

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Solution

The fourth proportional to 20,133.42, 30,200.15 and 7,650.51 is: 11,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.42 : 30,200.15 = 7,650.51 : x
  2. Step 2: Convert to fraction form
    20,133.42/30,200.15 = 7,650.51/x
  3. Step 3: Cross multiply
    20,133.42x = 30,200.15 × 7,650.51
  4. Step 4: Simplify right side
    20,133.42x = 231,046,549.58
  5. Step 5: Solve for x
    x = 231,046,549.58/20,133.42
  6. Step 6: Final answer
    x = 11,475.77

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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.