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Finding the Fourth Proportional to 13,818.92, 19,072.10 and 7,849.40

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Solution

The fourth proportional to 13,818.92, 19,072.10 and 7,849.40 is: 10,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.92 : 19,072.10 = 7,849.40 : x
  2. Step 2: Convert to fraction form
    13,818.92/19,072.10 = 7,849.40/x
  3. Step 3: Cross multiply
    13,818.92x = 19,072.10 × 7,849.40
  4. Step 4: Simplify right side
    13,818.92x = 149,704,541.74
  5. Step 5: Solve for x
    x = 149,704,541.74/13,818.92
  6. Step 6: Final answer
    x = 10,833.30

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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.