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Finding the Fourth Proportional to 18,802.14, 25,946.94 and 10,418.64

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Solution

The fourth proportional to 18,802.14, 25,946.94 and 10,418.64 is: 14,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,802.14 : 25,946.94 = 10,418.64 : x
  2. Step 2: Convert to fraction form
    18,802.14/25,946.94 = 10,418.64/x
  3. Step 3: Cross multiply
    18,802.14x = 25,946.94 × 10,418.64
  4. Step 4: Simplify right side
    18,802.14x = 270,331,826.96
  5. Step 5: Solve for x
    x = 270,331,826.96/18,802.14
  6. Step 6: Final answer
    x = 14,377.72

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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.