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Finding the Fourth Proportional to 28,406.09, 42,609.24 and 8,684.57

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Solution

The fourth proportional to 28,406.09, 42,609.24 and 8,684.57 is: 13,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406.09 : 42,609.24 = 8,684.57 : x
  2. Step 2: Convert to fraction form
    28,406.09/42,609.24 = 8,684.57/x
  3. Step 3: Cross multiply
    28,406.09x = 42,609.24 × 8,684.57
  4. Step 4: Simplify right side
    28,406.09x = 370,042,927.43
  5. Step 5: Solve for x
    x = 370,042,927.43/28,406.09
  6. Step 6: Final answer
    x = 13,026.89

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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.