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Finding the Fourth Proportional to 21,872.28, 32,803.56 and 7,077.36

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Solution

The fourth proportional to 21,872.28, 32,803.56 and 7,077.36 is: 10,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.28 : 32,803.56 = 7,077.36 : x
  2. Step 2: Convert to fraction form
    21,872.28/32,803.56 = 7,077.36/x
  3. Step 3: Cross multiply
    21,872.28x = 32,803.56 × 7,077.36
  4. Step 4: Simplify right side
    21,872.28x = 232,162,603.40
  5. Step 5: Solve for x
    x = 232,162,603.40/21,872.28
  6. Step 6: Final answer
    x = 10,614.47

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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.