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Finding the Fourth Proportional to 13,406.94, 18,502.16 and 7,439.76

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Solution

The fourth proportional to 13,406.94, 18,502.16 and 7,439.76 is: 10,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.94 : 18,502.16 = 7,439.76 : x
  2. Step 2: Convert to fraction form
    13,406.94/18,502.16 = 7,439.76/x
  3. Step 3: Cross multiply
    13,406.94x = 18,502.16 × 7,439.76
  4. Step 4: Simplify right side
    13,406.94x = 137,651,629.88
  5. Step 5: Solve for x
    x = 137,651,629.88/13,406.94
  6. Step 6: Final answer
    x = 10,267.19

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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.