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Finding the Fourth Proportional to 19,716.84, 27,238.92 and 12,927

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Solution

The fourth proportional to 19,716.84, 27,238.92 and 12,927 is: 17,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.84 : 27,238.92 = 12,927 : x
  2. Step 2: Convert to fraction form
    19,716.84/27,238.92 = 12,927/x
  3. Step 3: Cross multiply
    19,716.84x = 27,238.92 × 12,927
  4. Step 4: Simplify right side
    19,716.84x = 352,117,518.84
  5. Step 5: Solve for x
    x = 352,117,518.84/19,716.84
  6. Step 6: Final answer
    x = 17,858.72

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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.