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Finding the Fourth Proportional to 11,021.19, 15,164.19 and 9,524.31

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Solution

The fourth proportional to 11,021.19, 15,164.19 and 9,524.31 is: 13,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.19 : 15,164.19 = 9,524.31 : x
  2. Step 2: Convert to fraction form
    11,021.19/15,164.19 = 9,524.31/x
  3. Step 3: Cross multiply
    11,021.19x = 15,164.19 × 9,524.31
  4. Step 4: Simplify right side
    11,021.19x = 144,428,446.46
  5. Step 5: Solve for x
    x = 144,428,446.46/11,021.19
  6. Step 6: Final answer
    x = 13,104.61

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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.