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Finding the Fourth Proportional to 12,709.62, 19,068.57 and 6,136.56

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Solution

The fourth proportional to 12,709.62, 19,068.57 and 6,136.56 is: 9,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.62 : 19,068.57 = 6,136.56 : x
  2. Step 2: Convert to fraction form
    12,709.62/19,068.57 = 6,136.56/x
  3. Step 3: Cross multiply
    12,709.62x = 19,068.57 × 6,136.56
  4. Step 4: Simplify right side
    12,709.62x = 117,015,423.92
  5. Step 5: Solve for x
    x = 117,015,423.92/12,709.62
  6. Step 6: Final answer
    x = 9,206.84

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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.