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Finding the Fourth Proportional to 27,684.64, 41,503.76 and 12,090.40

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Solution

The fourth proportional to 27,684.64, 41,503.76 and 12,090.40 is: 18,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.64 : 41,503.76 = 12,090.40 : x
  2. Step 2: Convert to fraction form
    27,684.64/41,503.76 = 12,090.40/x
  3. Step 3: Cross multiply
    27,684.64x = 41,503.76 × 12,090.40
  4. Step 4: Simplify right side
    27,684.64x = 501,797,059.90
  5. Step 5: Solve for x
    x = 501,797,059.90/27,684.64
  6. Step 6: Final answer
    x = 18,125.47

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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.