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Finding the Fourth Proportional to 13,446.46, 18,553.86 and 7,477.34

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Solution

The fourth proportional to 13,446.46, 18,553.86 and 7,477.34 is: 10,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.46 : 18,553.86 = 7,477.34 : x
  2. Step 2: Convert to fraction form
    13,446.46/18,553.86 = 7,477.34/x
  3. Step 3: Cross multiply
    13,446.46x = 18,553.86 × 7,477.34
  4. Step 4: Simplify right side
    13,446.46x = 138,733,389.38
  5. Step 5: Solve for x
    x = 138,733,389.38/13,446.46
  6. Step 6: Final answer
    x = 10,317.47

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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.