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Finding the Fourth Proportional to 23,691.70, 32,693.37 and 13,613

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Solution

The fourth proportional to 23,691.70, 32,693.37 and 13,613 is: 18,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.70 : 32,693.37 = 13,613 : x
  2. Step 2: Convert to fraction form
    23,691.70/32,693.37 = 13,613/x
  3. Step 3: Cross multiply
    23,691.70x = 32,693.37 × 13,613
  4. Step 4: Simplify right side
    23,691.70x = 445,054,845.81
  5. Step 5: Solve for x
    x = 445,054,845.81/23,691.70
  6. Step 6: Final answer
    x = 18,785.26

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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.