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Finding the Fourth Proportional to 19,782.41, 27,299.16 and 10,829.34

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Solution

The fourth proportional to 19,782.41, 27,299.16 and 10,829.34 is: 14,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.41 : 27,299.16 = 10,829.34 : x
  2. Step 2: Convert to fraction form
    19,782.41/27,299.16 = 10,829.34/x
  3. Step 3: Cross multiply
    19,782.41x = 27,299.16 × 10,829.34
  4. Step 4: Simplify right side
    19,782.41x = 295,631,885.35
  5. Step 5: Solve for x
    x = 295,631,885.35/19,782.41
  6. Step 6: Final answer
    x = 14,944.18

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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.