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Finding the Fourth Proportional to 21,563.72, 32,339.10 and 8,412.56

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Solution

The fourth proportional to 21,563.72, 32,339.10 and 8,412.56 is: 12,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.72 : 32,339.10 = 8,412.56 : x
  2. Step 2: Convert to fraction form
    21,563.72/32,339.10 = 8,412.56/x
  3. Step 3: Cross multiply
    21,563.72x = 32,339.10 × 8,412.56
  4. Step 4: Simplify right side
    21,563.72x = 272,054,619.10
  5. Step 5: Solve for x
    x = 272,054,619.10/21,563.72
  6. Step 6: Final answer
    x = 12,616.31

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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.