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Finding the Fourth Proportional to 13,795.91, 20,693.91 and 3,407.66

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Solution

The fourth proportional to 13,795.91, 20,693.91 and 3,407.66 is: 5,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.91 : 20,693.91 = 3,407.66 : x
  2. Step 2: Convert to fraction form
    13,795.91/20,693.91 = 3,407.66/x
  3. Step 3: Cross multiply
    13,795.91x = 20,693.91 × 3,407.66
  4. Step 4: Simplify right side
    13,795.91x = 70,517,705.88
  5. Step 5: Solve for x
    x = 70,517,705.88/13,795.91
  6. Step 6: Final answer
    x = 5,111.50

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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.