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Finding the Fourth Proportional to 20,316.36, 30,474.18 and 6,465

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Solution

The fourth proportional to 20,316.36, 30,474.18 and 6,465 is: 9,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.36 : 30,474.18 = 6,465 : x
  2. Step 2: Convert to fraction form
    20,316.36/30,474.18 = 6,465/x
  3. Step 3: Cross multiply
    20,316.36x = 30,474.18 × 6,465
  4. Step 4: Simplify right side
    20,316.36x = 197,015,573.70
  5. Step 5: Solve for x
    x = 197,015,573.70/20,316.36
  6. Step 6: Final answer
    x = 9,697.39

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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.