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Finding the Fourth Proportional to 12,402.63, 18,594.99 and 5,825.16

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Solution

The fourth proportional to 12,402.63, 18,594.99 and 5,825.16 is: 8,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.63 : 18,594.99 = 5,825.16 : x
  2. Step 2: Convert to fraction form
    12,402.63/18,594.99 = 5,825.16/x
  3. Step 3: Cross multiply
    12,402.63x = 18,594.99 × 5,825.16
  4. Step 4: Simplify right side
    12,402.63x = 108,318,791.95
  5. Step 5: Solve for x
    x = 108,318,791.95/12,402.63
  6. Step 6: Final answer
    x = 8,733.53

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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.