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Finding the Fourth Proportional to 13,406.27, 18,501 and 7,438.04

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Solution

The fourth proportional to 13,406.27, 18,501 and 7,438.04 is: 10,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.27 : 18,501 = 7,438.04 : x
  2. Step 2: Convert to fraction form
    13,406.27/18,501 = 7,438.04/x
  3. Step 3: Cross multiply
    13,406.27x = 18,501 × 7,438.04
  4. Step 4: Simplify right side
    13,406.27x = 137,611,224.29
  5. Step 5: Solve for x
    x = 137,611,224.29/13,406.27
  6. Step 6: Final answer
    x = 10,264.69

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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.