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Finding the Fourth Proportional to 13,446.39, 18,555.42 and 7,478.61

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Solution

The fourth proportional to 13,446.39, 18,555.42 and 7,478.61 is: 10,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.39 : 18,555.42 = 7,478.61 : x
  2. Step 2: Convert to fraction form
    13,446.39/18,555.42 = 7,478.61/x
  3. Step 3: Cross multiply
    13,446.39x = 18,555.42 × 7,478.61
  4. Step 4: Simplify right side
    13,446.39x = 138,768,749.57
  5. Step 5: Solve for x
    x = 138,768,749.57/13,446.39
  6. Step 6: Final answer
    x = 10,320.15

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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.