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Finding the Fourth Proportional to 13,456.50, 20,188.86 and 6,887.34

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Solution

The fourth proportional to 13,456.50, 20,188.86 and 6,887.34 is: 10,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.50 : 20,188.86 = 6,887.34 : x
  2. Step 2: Convert to fraction form
    13,456.50/20,188.86 = 6,887.34/x
  3. Step 3: Cross multiply
    13,456.50x = 20,188.86 × 6,887.34
  4. Step 4: Simplify right side
    13,456.50x = 139,047,543.03
  5. Step 5: Solve for x
    x = 139,047,543.03/13,456.50
  6. Step 6: Final answer
    x = 10,333.11

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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.