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Finding the Fourth Proportional to 21,576.78, 32,364.09 and 6,785.37

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Solution

The fourth proportional to 21,576.78, 32,364.09 and 6,785.37 is: 10,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576.78 : 32,364.09 = 6,785.37 : x
  2. Step 2: Convert to fraction form
    21,576.78/32,364.09 = 6,785.37/x
  3. Step 3: Cross multiply
    21,576.78x = 32,364.09 × 6,785.37
  4. Step 4: Simplify right side
    21,576.78x = 219,602,325.36
  5. Step 5: Solve for x
    x = 219,602,325.36/21,576.78
  6. Step 6: Final answer
    x = 10,177.72

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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.