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Finding the Fourth Proportional to 14,031.38, 21,063.36 and 8,192.18

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Solution

The fourth proportional to 14,031.38, 21,063.36 and 8,192.18 is: 12,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.38 : 21,063.36 = 8,192.18 : x
  2. Step 2: Convert to fraction form
    14,031.38/21,063.36 = 8,192.18/x
  3. Step 3: Cross multiply
    14,031.38x = 21,063.36 × 8,192.18
  4. Step 4: Simplify right side
    14,031.38x = 172,554,836.52
  5. Step 5: Solve for x
    x = 172,554,836.52/14,031.38
  6. Step 6: Final answer
    x = 12,297.78

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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.