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Finding the Fourth Proportional to 19,682.01, 27,160.64 and 10,729.70

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Solution

The fourth proportional to 19,682.01, 27,160.64 and 10,729.70 is: 14,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.01 : 27,160.64 = 10,729.70 : x
  2. Step 2: Convert to fraction form
    19,682.01/27,160.64 = 10,729.70/x
  3. Step 3: Cross multiply
    19,682.01x = 27,160.64 × 10,729.70
  4. Step 4: Simplify right side
    19,682.01x = 291,425,329.56
  5. Step 5: Solve for x
    x = 291,425,329.56/19,682.01
  6. Step 6: Final answer
    x = 14,806.69

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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.