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Finding the Fourth Proportional to 13,412.09, 18,508.69 and 7,443.76

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Solution

The fourth proportional to 13,412.09, 18,508.69 and 7,443.76 is: 10,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.09 : 18,508.69 = 7,443.76 : x
  2. Step 2: Convert to fraction form
    13,412.09/18,508.69 = 7,443.76/x
  3. Step 3: Cross multiply
    13,412.09x = 18,508.69 × 7,443.76
  4. Step 4: Simplify right side
    13,412.09x = 137,774,246.27
  5. Step 5: Solve for x
    x = 137,774,246.27/13,412.09
  6. Step 6: Final answer
    x = 10,272.39

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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.