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Finding the Fourth Proportional to 21,083.86, 29,112.50 and 13,029.22

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Solution

The fourth proportional to 21,083.86, 29,112.50 and 13,029.22 is: 17,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.86 : 29,112.50 = 13,029.22 : x
  2. Step 2: Convert to fraction form
    21,083.86/29,112.50 = 13,029.22/x
  3. Step 3: Cross multiply
    21,083.86x = 29,112.50 × 13,029.22
  4. Step 4: Simplify right side
    21,083.86x = 379,313,162.92
  5. Step 5: Solve for x
    x = 379,313,162.92/21,083.86
  6. Step 6: Final answer
    x = 17,990.69

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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.