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Finding the Fourth Proportional to 20,567.68, 28,382.88 and 12,184

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Solution

The fourth proportional to 20,567.68, 28,382.88 and 12,184 is: 16,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.68 : 28,382.88 = 12,184 : x
  2. Step 2: Convert to fraction form
    20,567.68/28,382.88 = 12,184/x
  3. Step 3: Cross multiply
    20,567.68x = 28,382.88 × 12,184
  4. Step 4: Simplify right side
    20,567.68x = 345,817,009.92
  5. Step 5: Solve for x
    x = 345,817,009.92/20,567.68
  6. Step 6: Final answer
    x = 16,813.61

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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.