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Finding the Fourth Proportional to 19,766.40, 27,276.24 and 10,813.71

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Solution

The fourth proportional to 19,766.40, 27,276.24 and 10,813.71 is: 14,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.40 : 27,276.24 = 10,813.71 : x
  2. Step 2: Convert to fraction form
    19,766.40/27,276.24 = 10,813.71/x
  3. Step 3: Cross multiply
    19,766.40x = 27,276.24 × 10,813.71
  4. Step 4: Simplify right side
    19,766.40x = 294,957,349.25
  5. Step 5: Solve for x
    x = 294,957,349.25/19,766.40
  6. Step 6: Final answer
    x = 14,922.16

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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.