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Finding the Fourth Proportional to 15,774.98, 21,771 and 11,789.18

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Solution

The fourth proportional to 15,774.98, 21,771 and 11,789.18 is: 16,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.98 : 21,771 = 11,789.18 : x
  2. Step 2: Convert to fraction form
    15,774.98/21,771 = 11,789.18/x
  3. Step 3: Cross multiply
    15,774.98x = 21,771 × 11,789.18
  4. Step 4: Simplify right side
    15,774.98x = 256,662,237.78
  5. Step 5: Solve for x
    x = 256,662,237.78/15,774.98
  6. Step 6: Final answer
    x = 16,270.21

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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.