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Finding the Fourth Proportional to 19,829.34, 27,363.42 and 10,876.68

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Solution

The fourth proportional to 19,829.34, 27,363.42 and 10,876.68 is: 15,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.34 : 27,363.42 = 10,876.68 : x
  2. Step 2: Convert to fraction form
    19,829.34/27,363.42 = 10,876.68/x
  3. Step 3: Cross multiply
    19,829.34x = 27,363.42 × 10,876.68
  4. Step 4: Simplify right side
    19,829.34x = 297,623,163.05
  5. Step 5: Solve for x
    x = 297,623,163.05/19,829.34
  6. Step 6: Final answer
    x = 15,009.23

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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.