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Finding the Fourth Proportional to 14,696.76, 20,288.16 and 9,398.72

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Solution

The fourth proportional to 14,696.76, 20,288.16 and 9,398.72 is: 12,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.76 : 20,288.16 = 9,398.72 : x
  2. Step 2: Convert to fraction form
    14,696.76/20,288.16 = 9,398.72/x
  3. Step 3: Cross multiply
    14,696.76x = 20,288.16 × 9,398.72
  4. Step 4: Simplify right side
    14,696.76x = 190,682,735.16
  5. Step 5: Solve for x
    x = 190,682,735.16/14,696.76
  6. Step 6: Final answer
    x = 12,974.47

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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.