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Finding the Fourth Proportional to 21,977.71, 32,989.46 and 10,892.34

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Solution

The fourth proportional to 21,977.71, 32,989.46 and 10,892.34 is: 16,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.71 : 32,989.46 = 10,892.34 : x
  2. Step 2: Convert to fraction form
    21,977.71/32,989.46 = 10,892.34/x
  3. Step 3: Cross multiply
    21,977.71x = 32,989.46 × 10,892.34
  4. Step 4: Simplify right side
    21,977.71x = 359,332,360.27
  5. Step 5: Solve for x
    x = 359,332,360.27/21,977.71
  6. Step 6: Final answer
    x = 16,349.86

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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.