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Finding the Fourth Proportional to 14,576.10, 21,859.66 and 9,578.21

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Solution

The fourth proportional to 14,576.10, 21,859.66 and 9,578.21 is: 14,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.10 : 21,859.66 = 9,578.21 : x
  2. Step 2: Convert to fraction form
    14,576.10/21,859.66 = 9,578.21/x
  3. Step 3: Cross multiply
    14,576.10x = 21,859.66 × 9,578.21
  4. Step 4: Simplify right side
    14,576.10x = 209,376,348.89
  5. Step 5: Solve for x
    x = 209,376,348.89/14,576.10
  6. Step 6: Final answer
    x = 14,364.36

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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.