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Finding the Fourth Proportional to 13,399.86, 18,491.17 and 7,431.40

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Solution

The fourth proportional to 13,399.86, 18,491.17 and 7,431.40 is: 10,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.86 : 18,491.17 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    13,399.86/18,491.17 = 7,431.40/x
  3. Step 3: Cross multiply
    13,399.86x = 18,491.17 × 7,431.40
  4. Step 4: Simplify right side
    13,399.86x = 137,415,278.47
  5. Step 5: Solve for x
    x = 137,415,278.47/13,399.86
  6. Step 6: Final answer
    x = 10,254.98

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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.