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Finding the Fourth Proportional to 13,104.16, 18,084 and 10,274.92

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Solution

The fourth proportional to 13,104.16, 18,084 and 10,274.92 is: 14,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.16 : 18,084 = 10,274.92 : x
  2. Step 2: Convert to fraction form
    13,104.16/18,084 = 10,274.92/x
  3. Step 3: Cross multiply
    13,104.16x = 18,084 × 10,274.92
  4. Step 4: Simplify right side
    13,104.16x = 185,811,653.28
  5. Step 5: Solve for x
    x = 185,811,653.28/13,104.16
  6. Step 6: Final answer
    x = 14,179.59

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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.