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Finding the Fourth Proportional to 21,576.40, 32,377.16 and 9,095.65

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Solution

The fourth proportional to 21,576.40, 32,377.16 and 9,095.65 is: 13,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576.40 : 32,377.16 = 9,095.65 : x
  2. Step 2: Convert to fraction form
    21,576.40/32,377.16 = 9,095.65/x
  3. Step 3: Cross multiply
    21,576.40x = 32,377.16 × 9,095.65
  4. Step 4: Simplify right side
    21,576.40x = 294,491,269.88
  5. Step 5: Solve for x
    x = 294,491,269.88/21,576.40
  6. Step 6: Final answer
    x = 13,648.77

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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.