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Finding the Fourth Proportional to 21,541.25, 32,311.89 and 6,751.32

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Solution

The fourth proportional to 21,541.25, 32,311.89 and 6,751.32 is: 10,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.25 : 32,311.89 = 6,751.32 : x
  2. Step 2: Convert to fraction form
    21,541.25/32,311.89 = 6,751.32/x
  3. Step 3: Cross multiply
    21,541.25x = 32,311.89 × 6,751.32
  4. Step 4: Simplify right side
    21,541.25x = 218,147,909.19
  5. Step 5: Solve for x
    x = 218,147,909.19/21,541.25
  6. Step 6: Final answer
    x = 10,126.98

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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.