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Finding the Fourth Proportional to 21,586.70, 32,381.87 and 6,004.32

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Solution

The fourth proportional to 21,586.70, 32,381.87 and 6,004.32 is: 9,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.70 : 32,381.87 = 6,004.32 : x
  2. Step 2: Convert to fraction form
    21,586.70/32,381.87 = 6,004.32/x
  3. Step 3: Cross multiply
    21,586.70x = 32,381.87 × 6,004.32
  4. Step 4: Simplify right side
    21,586.70x = 194,431,109.68
  5. Step 5: Solve for x
    x = 194,431,109.68/21,586.70
  6. Step 6: Final answer
    x = 9,006.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.