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Finding the Fourth Proportional to 19,682.80, 27,161.44 and 10,730.08

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Solution

The fourth proportional to 19,682.80, 27,161.44 and 10,730.08 is: 14,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.80 : 27,161.44 = 10,730.08 : x
  2. Step 2: Convert to fraction form
    19,682.80/27,161.44 = 10,730.08/x
  3. Step 3: Cross multiply
    19,682.80x = 27,161.44 × 10,730.08
  4. Step 4: Simplify right side
    19,682.80x = 291,444,424.12
  5. Step 5: Solve for x
    x = 291,444,424.12/19,682.80
  6. Step 6: Final answer
    x = 14,807.06

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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.