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Finding the Fourth Proportional to 19,824.68, 29,732.06 and 8,141.16

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Solution

The fourth proportional to 19,824.68, 29,732.06 and 8,141.16 is: 12,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.68 : 29,732.06 = 8,141.16 : x
  2. Step 2: Convert to fraction form
    19,824.68/29,732.06 = 8,141.16/x
  3. Step 3: Cross multiply
    19,824.68x = 29,732.06 × 8,141.16
  4. Step 4: Simplify right side
    19,824.68x = 242,053,457.59
  5. Step 5: Solve for x
    x = 242,053,457.59/19,824.68
  6. Step 6: Final answer
    x = 12,209.70

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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.