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Finding the Fourth Proportional to 20,133.51, 30,202.32 and 9,601.74

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Solution

The fourth proportional to 20,133.51, 30,202.32 and 9,601.74 is: 14,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.51 : 30,202.32 = 9,601.74 : x
  2. Step 2: Convert to fraction form
    20,133.51/30,202.32 = 9,601.74/x
  3. Step 3: Cross multiply
    20,133.51x = 30,202.32 × 9,601.74
  4. Step 4: Simplify right side
    20,133.51x = 289,994,806.03
  5. Step 5: Solve for x
    x = 289,994,806.03/20,133.51
  6. Step 6: Final answer
    x = 14,403.59

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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.