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Finding the Fourth Proportional to 21,205.85, 29,264.09 and 11,774.41

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Solution

The fourth proportional to 21,205.85, 29,264.09 and 11,774.41 is: 16,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.85 : 29,264.09 = 11,774.41 : x
  2. Step 2: Convert to fraction form
    21,205.85/29,264.09 = 11,774.41/x
  3. Step 3: Cross multiply
    21,205.85x = 29,264.09 × 11,774.41
  4. Step 4: Simplify right side
    21,205.85x = 344,567,426.52
  5. Step 5: Solve for x
    x = 344,567,426.52/21,205.85
  6. Step 6: Final answer
    x = 16,248.70

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