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Finding the Fourth Proportional to 13,818.76, 19,064.82 and 8,853.64

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Solution

The fourth proportional to 13,818.76, 19,064.82 and 8,853.64 is: 12,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.76 : 19,064.82 = 8,853.64 : x
  2. Step 2: Convert to fraction form
    13,818.76/19,064.82 = 8,853.64/x
  3. Step 3: Cross multiply
    13,818.76x = 19,064.82 × 8,853.64
  4. Step 4: Simplify right side
    13,818.76x = 168,793,052.94
  5. Step 5: Solve for x
    x = 168,793,052.94/13,818.76
  6. Step 6: Final answer
    x = 12,214.78

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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.