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Finding the Fourth Proportional to 14,521.50, 21,740.94 and 9,576.06

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Solution

The fourth proportional to 14,521.50, 21,740.94 and 9,576.06 is: 14,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.50 : 21,740.94 = 9,576.06 : x
  2. Step 2: Convert to fraction form
    14,521.50/21,740.94 = 9,576.06/x
  3. Step 3: Cross multiply
    14,521.50x = 21,740.94 × 9,576.06
  4. Step 4: Simplify right side
    14,521.50x = 208,192,545.90
  5. Step 5: Solve for x
    x = 208,192,545.90/14,521.50
  6. Step 6: Final answer
    x = 14,336.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.