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Finding the Fourth Proportional to 14,479.76, 19,982.49 and 8,192

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Solution

The fourth proportional to 14,479.76, 19,982.49 and 8,192 is: 11,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,479.76 : 19,982.49 = 8,192 : x
  2. Step 2: Convert to fraction form
    14,479.76/19,982.49 = 8,192/x
  3. Step 3: Cross multiply
    14,479.76x = 19,982.49 × 8,192
  4. Step 4: Simplify right side
    14,479.76x = 163,696,558.08
  5. Step 5: Solve for x
    x = 163,696,558.08/14,479.76
  6. Step 6: Final answer
    x = 11,305.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.