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Finding the Fourth Proportional to 13,407.06, 18,501.74 and 7,438.71

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Solution

The fourth proportional to 13,407.06, 18,501.74 and 7,438.71 is: 10,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.06 : 18,501.74 = 7,438.71 : x
  2. Step 2: Convert to fraction form
    13,407.06/18,501.74 = 7,438.71/x
  3. Step 3: Cross multiply
    13,407.06x = 18,501.74 × 7,438.71
  4. Step 4: Simplify right side
    13,407.06x = 137,629,078.36
  5. Step 5: Solve for x
    x = 137,629,078.36/13,407.06
  6. Step 6: Final answer
    x = 10,265.42

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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.