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Finding the Fourth Proportional to 23,709.28, 35,539.20 and 9,663.20

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Solution

The fourth proportional to 23,709.28, 35,539.20 and 9,663.20 is: 14,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.28 : 35,539.20 = 9,663.20 : x
  2. Step 2: Convert to fraction form
    23,709.28/35,539.20 = 9,663.20/x
  3. Step 3: Cross multiply
    23,709.28x = 35,539.20 × 9,663.20
  4. Step 4: Simplify right side
    23,709.28x = 343,422,397.44
  5. Step 5: Solve for x
    x = 343,422,397.44/23,709.28
  6. Step 6: Final answer
    x = 14,484.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.