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Finding the Fourth Proportional to 21,977.88, 32,968.34 and 8,830.24

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Solution

The fourth proportional to 21,977.88, 32,968.34 and 8,830.24 is: 13,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.88 : 32,968.34 = 8,830.24 : x
  2. Step 2: Convert to fraction form
    21,977.88/32,968.34 = 8,830.24/x
  3. Step 3: Cross multiply
    21,977.88x = 32,968.34 × 8,830.24
  4. Step 4: Simplify right side
    21,977.88x = 291,118,354.60
  5. Step 5: Solve for x
    x = 291,118,354.60/21,977.88
  6. Step 6: Final answer
    x = 13,245.97

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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.