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Finding the Fourth Proportional to 11,430.26, 17,102.53 and 9,456.84

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Solution

The fourth proportional to 11,430.26, 17,102.53 and 9,456.84 is: 14,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.26 : 17,102.53 = 9,456.84 : x
  2. Step 2: Convert to fraction form
    11,430.26/17,102.53 = 9,456.84/x
  3. Step 3: Cross multiply
    11,430.26x = 17,102.53 × 9,456.84
  4. Step 4: Simplify right side
    11,430.26x = 161,735,864.28
  5. Step 5: Solve for x
    x = 161,735,864.28/11,430.26
  6. Step 6: Final answer
    x = 14,149.79

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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.