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Finding the Fourth Proportional to 13,405.77, 18,500.31 and 7,438.05

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Solution

The fourth proportional to 13,405.77, 18,500.31 and 7,438.05 is: 10,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.77 : 18,500.31 = 7,438.05 : x
  2. Step 2: Convert to fraction form
    13,405.77/18,500.31 = 7,438.05/x
  3. Step 3: Cross multiply
    13,405.77x = 18,500.31 × 7,438.05
  4. Step 4: Simplify right side
    13,405.77x = 137,606,230.80
  5. Step 5: Solve for x
    x = 137,606,230.80/13,405.77
  6. Step 6: Final answer
    x = 10,264.70

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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.