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Finding the Fourth Proportional to 20,184.50, 27,854.62 and 11,802.62

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Solution

The fourth proportional to 20,184.50, 27,854.62 and 11,802.62 is: 16,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.50 : 27,854.62 = 11,802.62 : x
  2. Step 2: Convert to fraction form
    20,184.50/27,854.62 = 11,802.62/x
  3. Step 3: Cross multiply
    20,184.50x = 27,854.62 × 11,802.62
  4. Step 4: Simplify right side
    20,184.50x = 328,757,495.10
  5. Step 5: Solve for x
    x = 328,757,495.10/20,184.50
  6. Step 6: Final answer
    x = 16,287.62

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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.