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Finding the Fourth Proportional to 21,623.78, 32,416.32 and 8,485.32

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Solution

The fourth proportional to 21,623.78, 32,416.32 and 8,485.32 is: 12,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.78 : 32,416.32 = 8,485.32 : x
  2. Step 2: Convert to fraction form
    21,623.78/32,416.32 = 8,485.32/x
  3. Step 3: Cross multiply
    21,623.78x = 32,416.32 × 8,485.32
  4. Step 4: Simplify right side
    21,623.78x = 275,062,848.42
  5. Step 5: Solve for x
    x = 275,062,848.42/21,623.78
  6. Step 6: Final answer
    x = 12,720.39

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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.