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Finding the Fourth Proportional to 21,543.14, 32,314.72 and 5,960.36

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Solution

The fourth proportional to 21,543.14, 32,314.72 and 5,960.36 is: 8,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.14 : 32,314.72 = 5,960.36 : x
  2. Step 2: Convert to fraction form
    21,543.14/32,314.72 = 5,960.36/x
  3. Step 3: Cross multiply
    21,543.14x = 32,314.72 × 5,960.36
  4. Step 4: Simplify right side
    21,543.14x = 192,607,364.50
  5. Step 5: Solve for x
    x = 192,607,364.50/21,543.14
  6. Step 6: Final answer
    x = 8,940.54

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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.