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Finding the Fourth Proportional to 23,376.28, 32,259 and 14,420.20

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Solution

The fourth proportional to 23,376.28, 32,259 and 14,420.20 is: 19,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.28 : 32,259 = 14,420.20 : x
  2. Step 2: Convert to fraction form
    23,376.28/32,259 = 14,420.20/x
  3. Step 3: Cross multiply
    23,376.28x = 32,259 × 14,420.20
  4. Step 4: Simplify right side
    23,376.28x = 465,181,231.80
  5. Step 5: Solve for x
    x = 465,181,231.80/23,376.28
  6. Step 6: Final answer
    x = 19,899.71

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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.