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Finding the Fourth Proportional to 20,218, 27,901.04 and 11,834.68

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Solution

The fourth proportional to 20,218, 27,901.04 and 11,834.68 is: 16,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218 : 27,901.04 = 11,834.68 : x
  2. Step 2: Convert to fraction form
    20,218/27,901.04 = 11,834.68/x
  3. Step 3: Cross multiply
    20,218x = 27,901.04 × 11,834.68
  4. Step 4: Simplify right side
    20,218x = 330,199,880.07
  5. Step 5: Solve for x
    x = 330,199,880.07/20,218
  6. Step 6: Final answer
    x = 16,331.98

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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.