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Finding the Fourth Proportional to 19,684.82, 27,164.97 and 10,732.50

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Solution

The fourth proportional to 19,684.82, 27,164.97 and 10,732.50 is: 14,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.82 : 27,164.97 = 10,732.50 : x
  2. Step 2: Convert to fraction form
    19,684.82/27,164.97 = 10,732.50/x
  3. Step 3: Cross multiply
    19,684.82x = 27,164.97 × 10,732.50
  4. Step 4: Simplify right side
    19,684.82x = 291,548,040.53
  5. Step 5: Solve for x
    x = 291,548,040.53/19,684.82
  6. Step 6: Final answer
    x = 14,810.80

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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.