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Finding the Fourth Proportional to 21,773.72, 32,659.86 and 9,461.72

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Solution

The fourth proportional to 21,773.72, 32,659.86 and 9,461.72 is: 14,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.72 : 32,659.86 = 9,461.72 : x
  2. Step 2: Convert to fraction form
    21,773.72/32,659.86 = 9,461.72/x
  3. Step 3: Cross multiply
    21,773.72x = 32,659.86 × 9,461.72
  4. Step 4: Simplify right side
    21,773.72x = 309,018,450.56
  5. Step 5: Solve for x
    x = 309,018,450.56/21,773.72
  6. Step 6: Final answer
    x = 14,192.27

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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.