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Finding the Fourth Proportional to 13,411.46, 20,098.46 and 11,426.74

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Solution

The fourth proportional to 13,411.46, 20,098.46 and 11,426.74 is: 17,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.46 : 20,098.46 = 11,426.74 : x
  2. Step 2: Convert to fraction form
    13,411.46/20,098.46 = 11,426.74/x
  3. Step 3: Cross multiply
    13,411.46x = 20,098.46 × 11,426.74
  4. Step 4: Simplify right side
    13,411.46x = 229,659,876.82
  5. Step 5: Solve for x
    x = 229,659,876.82/13,411.46
  6. Step 6: Final answer
    x = 17,124.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.