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Finding the Fourth Proportional to 15,846.84, 23,766.66 and 7,077

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Solution

The fourth proportional to 15,846.84, 23,766.66 and 7,077 is: 10,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.84 : 23,766.66 = 7,077 : x
  2. Step 2: Convert to fraction form
    15,846.84/23,766.66 = 7,077/x
  3. Step 3: Cross multiply
    15,846.84x = 23,766.66 × 7,077
  4. Step 4: Simplify right side
    15,846.84x = 168,196,652.82
  5. Step 5: Solve for x
    x = 168,196,652.82/15,846.84
  6. Step 6: Final answer
    x = 10,613.89

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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.