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Finding the Fourth Proportional to 13,883.07, 19,164.97 and 8,854.19

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Solution

The fourth proportional to 13,883.07, 19,164.97 and 8,854.19 is: 12,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.07 : 19,164.97 = 8,854.19 : x
  2. Step 2: Convert to fraction form
    13,883.07/19,164.97 = 8,854.19/x
  3. Step 3: Cross multiply
    13,883.07x = 19,164.97 × 8,854.19
  4. Step 4: Simplify right side
    13,883.07x = 169,690,285.72
  5. Step 5: Solve for x
    x = 169,690,285.72/13,883.07
  6. Step 6: Final answer
    x = 12,222.82

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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.