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Finding the Fourth Proportional to 27,223.77, 40,852.02 and 11,641.41

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Solution

The fourth proportional to 27,223.77, 40,852.02 and 11,641.41 is: 17,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.77 : 40,852.02 = 11,641.41 : x
  2. Step 2: Convert to fraction form
    27,223.77/40,852.02 = 11,641.41/x
  3. Step 3: Cross multiply
    27,223.77x = 40,852.02 × 11,641.41
  4. Step 4: Simplify right side
    27,223.77x = 475,575,114.15
  5. Step 5: Solve for x
    x = 475,575,114.15/27,223.77
  6. Step 6: Final answer
    x = 17,469.11

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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.