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Finding the Fourth Proportional to 21,927.96, 32,905.32 and 10,242

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Solution

The fourth proportional to 21,927.96, 32,905.32 and 10,242 is: 15,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.96 : 32,905.32 = 10,242 : x
  2. Step 2: Convert to fraction form
    21,927.96/32,905.32 = 10,242/x
  3. Step 3: Cross multiply
    21,927.96x = 32,905.32 × 10,242
  4. Step 4: Simplify right side
    21,927.96x = 337,016,287.44
  5. Step 5: Solve for x
    x = 337,016,287.44/21,927.96
  6. Step 6: Final answer
    x = 15,369.25

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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.