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Finding the Fourth Proportional to 14,208.78, 19,610 and 8,161.41

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Solution

The fourth proportional to 14,208.78, 19,610 and 8,161.41 is: 11,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.78 : 19,610 = 8,161.41 : x
  2. Step 2: Convert to fraction form
    14,208.78/19,610 = 8,161.41/x
  3. Step 3: Cross multiply
    14,208.78x = 19,610 × 8,161.41
  4. Step 4: Simplify right side
    14,208.78x = 160,045,250.10
  5. Step 5: Solve for x
    x = 160,045,250.10/14,208.78
  6. Step 6: Final answer
    x = 11,263.83

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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.