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Finding the Fourth Proportional to 13,551.84, 18,703.17 and 8,247.42

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Solution

The fourth proportional to 13,551.84, 18,703.17 and 8,247.42 is: 11,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551.84 : 18,703.17 = 8,247.42 : x
  2. Step 2: Convert to fraction form
    13,551.84/18,703.17 = 8,247.42/x
  3. Step 3: Cross multiply
    13,551.84x = 18,703.17 × 8,247.42
  4. Step 4: Simplify right side
    13,551.84x = 154,252,898.32
  5. Step 5: Solve for x
    x = 154,252,898.32/13,551.84
  6. Step 6: Final answer
    x = 11,382.43

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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.