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Finding the Fourth Proportional to 13,818.27, 19,071.66 and 8,152.68

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Solution

The fourth proportional to 13,818.27, 19,071.66 and 8,152.68 is: 11,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.27 : 19,071.66 = 8,152.68 : x
  2. Step 2: Convert to fraction form
    13,818.27/19,071.66 = 8,152.68/x
  3. Step 3: Cross multiply
    13,818.27x = 19,071.66 × 8,152.68
  4. Step 4: Simplify right side
    13,818.27x = 155,485,141.05
  5. Step 5: Solve for x
    x = 155,485,141.05/13,818.27
  6. Step 6: Final answer
    x = 11,252.14

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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.