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Finding the Fourth Proportional to 12,741.90, 19,104.12 and 6,489.81

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Solution

The fourth proportional to 12,741.90, 19,104.12 and 6,489.81 is: 9,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.90 : 19,104.12 = 6,489.81 : x
  2. Step 2: Convert to fraction form
    12,741.90/19,104.12 = 6,489.81/x
  3. Step 3: Cross multiply
    12,741.90x = 19,104.12 × 6,489.81
  4. Step 4: Simplify right side
    12,741.90x = 123,982,013.50
  5. Step 5: Solve for x
    x = 123,982,013.50/12,741.90
  6. Step 6: Final answer
    x = 9,730.26

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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.