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Finding the Fourth Proportional to 13,734.41, 18,953.39 and 7,446.74

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Solution

The fourth proportional to 13,734.41, 18,953.39 and 7,446.74 is: 10,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.41 : 18,953.39 = 7,446.74 : x
  2. Step 2: Convert to fraction form
    13,734.41/18,953.39 = 7,446.74/x
  3. Step 3: Cross multiply
    13,734.41x = 18,953.39 × 7,446.74
  4. Step 4: Simplify right side
    13,734.41x = 141,140,930.21
  5. Step 5: Solve for x
    x = 141,140,930.21/13,734.41
  6. Step 6: Final answer
    x = 10,276.45

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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.