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Finding the Fourth Proportional to 20,507.76, 30,737.34 and 9,405.18

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Solution

The fourth proportional to 20,507.76, 30,737.34 and 9,405.18 is: 14,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.76 : 30,737.34 = 9,405.18 : x
  2. Step 2: Convert to fraction form
    20,507.76/30,737.34 = 9,405.18/x
  3. Step 3: Cross multiply
    20,507.76x = 30,737.34 × 9,405.18
  4. Step 4: Simplify right side
    20,507.76x = 289,090,215.42
  5. Step 5: Solve for x
    x = 289,090,215.42/20,507.76
  6. Step 6: Final answer
    x = 14,096.63

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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.