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Finding the Fourth Proportional to 19,854.90, 27,397.71 and 11,896.92

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Solution

The fourth proportional to 19,854.90, 27,397.71 and 11,896.92 is: 16,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.90 : 27,397.71 = 11,896.92 : x
  2. Step 2: Convert to fraction form
    19,854.90/27,397.71 = 11,896.92/x
  3. Step 3: Cross multiply
    19,854.90x = 27,397.71 × 11,896.92
  4. Step 4: Simplify right side
    19,854.90x = 325,948,364.05
  5. Step 5: Solve for x
    x = 325,948,364.05/19,854.90
  6. Step 6: Final answer
    x = 16,416.52

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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.