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Finding the Fourth Proportional to 21,586.50, 32,379.75 and 6,004.53

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Solution

The fourth proportional to 21,586.50, 32,379.75 and 6,004.53 is: 9,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.50 : 32,379.75 = 6,004.53 : x
  2. Step 2: Convert to fraction form
    21,586.50/32,379.75 = 6,004.53/x
  3. Step 3: Cross multiply
    21,586.50x = 32,379.75 × 6,004.53
  4. Step 4: Simplify right side
    21,586.50x = 194,425,180.27
  5. Step 5: Solve for x
    x = 194,425,180.27/21,586.50
  6. Step 6: Final answer
    x = 9,006.80

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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.