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Finding the Fourth Proportional to 13,400.78, 18,491.38 and 7,431.66

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Solution

The fourth proportional to 13,400.78, 18,491.38 and 7,431.66 is: 10,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.78 : 18,491.38 = 7,431.66 : x
  2. Step 2: Convert to fraction form
    13,400.78/18,491.38 = 7,431.66/x
  3. Step 3: Cross multiply
    13,400.78x = 18,491.38 × 7,431.66
  4. Step 4: Simplify right side
    13,400.78x = 137,421,649.09
  5. Step 5: Solve for x
    x = 137,421,649.09/13,400.78
  6. Step 6: Final answer
    x = 10,254.75

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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.