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Finding the Fourth Proportional to 13,145.73, 18,141.09 and 8,430

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Solution

The fourth proportional to 13,145.73, 18,141.09 and 8,430 is: 11,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.73 : 18,141.09 = 8,430 : x
  2. Step 2: Convert to fraction form
    13,145.73/18,141.09 = 8,430/x
  3. Step 3: Cross multiply
    13,145.73x = 18,141.09 × 8,430
  4. Step 4: Simplify right side
    13,145.73x = 152,929,388.70
  5. Step 5: Solve for x
    x = 152,929,388.70/13,145.73
  6. Step 6: Final answer
    x = 11,633.39

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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.