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Finding the Fourth Proportional to 13,405.11, 18,501.27 and 7,438.71

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Solution

The fourth proportional to 13,405.11, 18,501.27 and 7,438.71 is: 10,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.11 : 18,501.27 = 7,438.71 : x
  2. Step 2: Convert to fraction form
    13,405.11/18,501.27 = 7,438.71/x
  3. Step 3: Cross multiply
    13,405.11x = 18,501.27 × 7,438.71
  4. Step 4: Simplify right side
    13,405.11x = 137,625,582.16
  5. Step 5: Solve for x
    x = 137,625,582.16/13,405.11
  6. Step 6: Final answer
    x = 10,266.65

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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.