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Finding the Fourth Proportional to 14,661.41, 20,219.67 and 11,432.02

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Solution

The fourth proportional to 14,661.41, 20,219.67 and 11,432.02 is: 15,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.41 : 20,219.67 = 11,432.02 : x
  2. Step 2: Convert to fraction form
    14,661.41/20,219.67 = 11,432.02/x
  3. Step 3: Cross multiply
    14,661.41x = 20,219.67 × 11,432.02
  4. Step 4: Simplify right side
    14,661.41x = 231,151,621.28
  5. Step 5: Solve for x
    x = 231,151,621.28/14,661.41
  6. Step 6: Final answer
    x = 15,765.99

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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.