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Finding the Fourth Proportional to 20,307.69, 30,463.16 and 6,975.35

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Solution

The fourth proportional to 20,307.69, 30,463.16 and 6,975.35 is: 10,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.69 : 30,463.16 = 6,975.35 : x
  2. Step 2: Convert to fraction form
    20,307.69/30,463.16 = 6,975.35/x
  3. Step 3: Cross multiply
    20,307.69x = 30,463.16 × 6,975.35
  4. Step 4: Simplify right side
    20,307.69x = 212,491,015.91
  5. Step 5: Solve for x
    x = 212,491,015.91/20,307.69
  6. Step 6: Final answer
    x = 10,463.57

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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.