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Finding the Fourth Proportional to 21,291.87, 31,909.50 and 11,294.56

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Solution

The fourth proportional to 21,291.87, 31,909.50 and 11,294.56 is: 16,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.87 : 31,909.50 = 11,294.56 : x
  2. Step 2: Convert to fraction form
    21,291.87/31,909.50 = 11,294.56/x
  3. Step 3: Cross multiply
    21,291.87x = 31,909.50 × 11,294.56
  4. Step 4: Simplify right side
    21,291.87x = 360,403,762.32
  5. Step 5: Solve for x
    x = 360,403,762.32/21,291.87
  6. Step 6: Final answer
    x = 16,926.83

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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.