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Finding the Fourth Proportional to 11,588.86, 17,383.25 and 10,024.21

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Solution

The fourth proportional to 11,588.86, 17,383.25 and 10,024.21 is: 15,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.86 : 17,383.25 = 10,024.21 : x
  2. Step 2: Convert to fraction form
    11,588.86/17,383.25 = 10,024.21/x
  3. Step 3: Cross multiply
    11,588.86x = 17,383.25 × 10,024.21
  4. Step 4: Simplify right side
    11,588.86x = 174,253,330.08
  5. Step 5: Solve for x
    x = 174,253,330.08/11,588.86
  6. Step 6: Final answer
    x = 15,036.28

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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.