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Finding the Fourth Proportional to 19,863.81, 27,368.76 and 14,826

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Solution

The fourth proportional to 19,863.81, 27,368.76 and 14,826 is: 20,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.81 : 27,368.76 = 14,826 : x
  2. Step 2: Convert to fraction form
    19,863.81/27,368.76 = 14,826/x
  3. Step 3: Cross multiply
    19,863.81x = 27,368.76 × 14,826
  4. Step 4: Simplify right side
    19,863.81x = 405,769,235.76
  5. Step 5: Solve for x
    x = 405,769,235.76/19,863.81
  6. Step 6: Final answer
    x = 20,427.56

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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.