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Finding the Fourth Proportional to 23,921.30, 35,889.64 and 7,284.56

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Solution

The fourth proportional to 23,921.30, 35,889.64 and 7,284.56 is: 10,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.30 : 35,889.64 = 7,284.56 : x
  2. Step 2: Convert to fraction form
    23,921.30/35,889.64 = 7,284.56/x
  3. Step 3: Cross multiply
    23,921.30x = 35,889.64 × 7,284.56
  4. Step 4: Simplify right side
    23,921.30x = 261,440,038.30
  5. Step 5: Solve for x
    x = 261,440,038.30/23,921.30
  6. Step 6: Final answer
    x = 10,929.17

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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.