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Finding the Fourth Proportional to 20,510.02, 30,743.16 and 8,661.34

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Solution

The fourth proportional to 20,510.02, 30,743.16 and 8,661.34 is: 12,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.02 : 30,743.16 = 8,661.34 : x
  2. Step 2: Convert to fraction form
    20,510.02/30,743.16 = 8,661.34/x
  3. Step 3: Cross multiply
    20,510.02x = 30,743.16 × 8,661.34
  4. Step 4: Simplify right side
    20,510.02x = 266,276,961.43
  5. Step 5: Solve for x
    x = 266,276,961.43/20,510.02
  6. Step 6: Final answer
    x = 12,982.77

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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.