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Finding the Fourth Proportional to 12,141.90, 18,203.52 and 10,905.54

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Solution

The fourth proportional to 12,141.90, 18,203.52 and 10,905.54 is: 16,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.90 : 18,203.52 = 10,905.54 : x
  2. Step 2: Convert to fraction form
    12,141.90/18,203.52 = 10,905.54/x
  3. Step 3: Cross multiply
    12,141.90x = 18,203.52 × 10,905.54
  4. Step 4: Simplify right side
    12,141.90x = 198,519,215.50
  5. Step 5: Solve for x
    x = 198,519,215.50/12,141.90
  6. Step 6: Final answer
    x = 16,349.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.