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Finding the Fourth Proportional to 19,426.92, 26,808.16 and 11,871.76

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Solution

The fourth proportional to 19,426.92, 26,808.16 and 11,871.76 is: 16,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,426.92 : 26,808.16 = 11,871.76 : x
  2. Step 2: Convert to fraction form
    19,426.92/26,808.16 = 11,871.76/x
  3. Step 3: Cross multiply
    19,426.92x = 26,808.16 × 11,871.76
  4. Step 4: Simplify right side
    19,426.92x = 318,260,041.56
  5. Step 5: Solve for x
    x = 318,260,041.56/19,426.92
  6. Step 6: Final answer
    x = 16,382.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.