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Finding the Fourth Proportional to 21,269.88, 31,909.68 and 11,418.84

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Solution

The fourth proportional to 21,269.88, 31,909.68 and 11,418.84 is: 17,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.88 : 31,909.68 = 11,418.84 : x
  2. Step 2: Convert to fraction form
    21,269.88/31,909.68 = 11,418.84/x
  3. Step 3: Cross multiply
    21,269.88x = 31,909.68 × 11,418.84
  4. Step 4: Simplify right side
    21,269.88x = 364,371,530.37
  5. Step 5: Solve for x
    x = 364,371,530.37/21,269.88
  6. Step 6: Final answer
    x = 17,130.87

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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.