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Finding the Fourth Proportional to 19,876.96, 29,776.42 and 11,539.50

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Solution

The fourth proportional to 19,876.96, 29,776.42 and 11,539.50 is: 17,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.96 : 29,776.42 = 11,539.50 : x
  2. Step 2: Convert to fraction form
    19,876.96/29,776.42 = 11,539.50/x
  3. Step 3: Cross multiply
    19,876.96x = 29,776.42 × 11,539.50
  4. Step 4: Simplify right side
    19,876.96x = 343,604,998.59
  5. Step 5: Solve for x
    x = 343,604,998.59/19,876.96
  6. Step 6: Final answer
    x = 17,286.60

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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.