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Finding the Fourth Proportional to 15,892.63, 23,842.88 and 11,221.79

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Solution

The fourth proportional to 15,892.63, 23,842.88 and 11,221.79 is: 16,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.63 : 23,842.88 = 11,221.79 : x
  2. Step 2: Convert to fraction form
    15,892.63/23,842.88 = 11,221.79/x
  3. Step 3: Cross multiply
    15,892.63x = 23,842.88 × 11,221.79
  4. Step 4: Simplify right side
    15,892.63x = 267,559,736.25
  5. Step 5: Solve for x
    x = 267,559,736.25/15,892.63
  6. Step 6: Final answer
    x = 16,835.46

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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.