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Finding the Fourth Proportional to 21,892.56, 32,823.83 and 7,852.29

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Solution

The fourth proportional to 21,892.56, 32,823.83 and 7,852.29 is: 11,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.56 : 32,823.83 = 7,852.29 : x
  2. Step 2: Convert to fraction form
    21,892.56/32,823.83 = 7,852.29/x
  3. Step 3: Cross multiply
    21,892.56x = 32,823.83 × 7,852.29
  4. Step 4: Simplify right side
    21,892.56x = 257,742,232.07
  5. Step 5: Solve for x
    x = 257,742,232.07/21,892.56
  6. Step 6: Final answer
    x = 11,773.05

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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.