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Finding the Fourth Proportional to 13,734.34, 18,953.76 and 8,426.01

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Solution

The fourth proportional to 13,734.34, 18,953.76 and 8,426.01 is: 11,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.34 : 18,953.76 = 8,426.01 : x
  2. Step 2: Convert to fraction form
    13,734.34/18,953.76 = 8,426.01/x
  3. Step 3: Cross multiply
    13,734.34x = 18,953.76 × 8,426.01
  4. Step 4: Simplify right side
    13,734.34x = 159,704,476.53
  5. Step 5: Solve for x
    x = 159,704,476.53/13,734.34
  6. Step 6: Final answer
    x = 11,628.11

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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.