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Finding the Fourth Proportional to 12,624.68, 18,946.59 and 7,082.69

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Solution

The fourth proportional to 12,624.68, 18,946.59 and 7,082.69 is: 10,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.68 : 18,946.59 = 7,082.69 : x
  2. Step 2: Convert to fraction form
    12,624.68/18,946.59 = 7,082.69/x
  3. Step 3: Cross multiply
    12,624.68x = 18,946.59 × 7,082.69
  4. Step 4: Simplify right side
    12,624.68x = 134,192,728.79
  5. Step 5: Solve for x
    x = 134,192,728.79/12,624.68
  6. Step 6: Final answer
    x = 10,629.40

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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.