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Finding the Fourth Proportional to 20,184.93, 27,854.28 and 12,226.68

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Solution

The fourth proportional to 20,184.93, 27,854.28 and 12,226.68 is: 16,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.93 : 27,854.28 = 12,226.68 : x
  2. Step 2: Convert to fraction form
    20,184.93/27,854.28 = 12,226.68/x
  3. Step 3: Cross multiply
    20,184.93x = 27,854.28 × 12,226.68
  4. Step 4: Simplify right side
    20,184.93x = 340,565,368.19
  5. Step 5: Solve for x
    x = 340,565,368.19/20,184.93
  6. Step 6: Final answer
    x = 16,872.26

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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.