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Finding the Fourth Proportional to 13,693.66, 20,541.01 and 3,832.68

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Solution

The fourth proportional to 13,693.66, 20,541.01 and 3,832.68 is: 5,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.66 : 20,541.01 = 3,832.68 : x
  2. Step 2: Convert to fraction form
    13,693.66/20,541.01 = 3,832.68/x
  3. Step 3: Cross multiply
    13,693.66x = 20,541.01 × 3,832.68
  4. Step 4: Simplify right side
    13,693.66x = 78,727,176.67
  5. Step 5: Solve for x
    x = 78,727,176.67/13,693.66
  6. Step 6: Final answer
    x = 5,749.17

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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.