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Finding the Fourth Proportional to 19,406.74, 29,082.30 and 11,069.50

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Solution

The fourth proportional to 19,406.74, 29,082.30 and 11,069.50 is: 16,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.74 : 29,082.30 = 11,069.50 : x
  2. Step 2: Convert to fraction form
    19,406.74/29,082.30 = 11,069.50/x
  3. Step 3: Cross multiply
    19,406.74x = 29,082.30 × 11,069.50
  4. Step 4: Simplify right side
    19,406.74x = 321,926,519.85
  5. Step 5: Solve for x
    x = 321,926,519.85/19,406.74
  6. Step 6: Final answer
    x = 16,588.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.