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Finding the Fourth Proportional to 21,576.36, 32,368.86 and 6,789

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Solution

The fourth proportional to 21,576.36, 32,368.86 and 6,789 is: 10,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576.36 : 32,368.86 = 6,789 : x
  2. Step 2: Convert to fraction form
    21,576.36/32,368.86 = 6,789/x
  3. Step 3: Cross multiply
    21,576.36x = 32,368.86 × 6,789
  4. Step 4: Simplify right side
    21,576.36x = 219,752,190.54
  5. Step 5: Solve for x
    x = 219,752,190.54/21,576.36
  6. Step 6: Final answer
    x = 10,184.86

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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.