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Finding the Fourth Proportional to 11,244.25, 15,404.42 and 10,823.59

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Solution

The fourth proportional to 11,244.25, 15,404.42 and 10,823.59 is: 14,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.25 : 15,404.42 = 10,823.59 : x
  2. Step 2: Convert to fraction form
    11,244.25/15,404.42 = 10,823.59/x
  3. Step 3: Cross multiply
    11,244.25x = 15,404.42 × 10,823.59
  4. Step 4: Simplify right side
    11,244.25x = 166,731,126.27
  5. Step 5: Solve for x
    x = 166,731,126.27/11,244.25
  6. Step 6: Final answer
    x = 14,828.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.