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Finding the Fourth Proportional to 14,124.69, 21,176.09 and 8,192.46

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Solution

The fourth proportional to 14,124.69, 21,176.09 and 8,192.46 is: 12,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.69 : 21,176.09 = 8,192.46 : x
  2. Step 2: Convert to fraction form
    14,124.69/21,176.09 = 8,192.46/x
  3. Step 3: Cross multiply
    14,124.69x = 21,176.09 × 8,192.46
  4. Step 4: Simplify right side
    14,124.69x = 173,484,229.32
  5. Step 5: Solve for x
    x = 173,484,229.32/14,124.69
  6. Step 6: Final answer
    x = 12,282.34

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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.