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Finding the Fourth Proportional to 20,102.94, 30,144.83 and 9,009.72

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Solution

The fourth proportional to 20,102.94, 30,144.83 and 9,009.72 is: 13,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.94 : 30,144.83 = 9,009.72 : x
  2. Step 2: Convert to fraction form
    20,102.94/30,144.83 = 9,009.72/x
  3. Step 3: Cross multiply
    20,102.94x = 30,144.83 × 9,009.72
  4. Step 4: Simplify right side
    20,102.94x = 271,596,432.70
  5. Step 5: Solve for x
    x = 271,596,432.70/20,102.94
  6. Step 6: Final answer
    x = 13,510.28

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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.