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Finding the Fourth Proportional to 11,514.89, 17,248.04 and 11,383.67

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Solution

The fourth proportional to 11,514.89, 17,248.04 and 11,383.67 is: 17,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.89 : 17,248.04 = 11,383.67 : x
  2. Step 2: Convert to fraction form
    11,514.89/17,248.04 = 11,383.67/x
  3. Step 3: Cross multiply
    11,514.89x = 17,248.04 × 11,383.67
  4. Step 4: Simplify right side
    11,514.89x = 196,346,024.40
  5. Step 5: Solve for x
    x = 196,346,024.40/11,514.89
  6. Step 6: Final answer
    x = 17,051.49

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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.