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Finding the Fourth Proportional to 11,926.69, 16,474.34 and 9,076.76

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Solution

The fourth proportional to 11,926.69, 16,474.34 and 9,076.76 is: 12,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.69 : 16,474.34 = 9,076.76 : x
  2. Step 2: Convert to fraction form
    11,926.69/16,474.34 = 9,076.76/x
  3. Step 3: Cross multiply
    11,926.69x = 16,474.34 × 9,076.76
  4. Step 4: Simplify right side
    11,926.69x = 149,533,581.38
  5. Step 5: Solve for x
    x = 149,533,581.38/11,926.69
  6. Step 6: Final answer
    x = 12,537.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.