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Finding the Fourth Proportional to 13,495.96, 20,243.94 and 6,917.95

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Solution

The fourth proportional to 13,495.96, 20,243.94 and 6,917.95 is: 10,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.96 : 20,243.94 = 6,917.95 : x
  2. Step 2: Convert to fraction form
    13,495.96/20,243.94 = 6,917.95/x
  3. Step 3: Cross multiply
    13,495.96x = 20,243.94 × 6,917.95
  4. Step 4: Simplify right side
    13,495.96x = 140,046,514.11
  5. Step 5: Solve for x
    x = 140,046,514.11/13,495.96
  6. Step 6: Final answer
    x = 10,376.92

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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.