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Finding the Fourth Proportional to 23,606.28, 35,409.42 and 7,807.07

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Solution

The fourth proportional to 23,606.28, 35,409.42 and 7,807.07 is: 11,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,606.28 : 35,409.42 = 7,807.07 : x
  2. Step 2: Convert to fraction form
    23,606.28/35,409.42 = 7,807.07/x
  3. Step 3: Cross multiply
    23,606.28x = 35,409.42 × 7,807.07
  4. Step 4: Simplify right side
    23,606.28x = 276,443,860.14
  5. Step 5: Solve for x
    x = 276,443,860.14/23,606.28
  6. Step 6: Final answer
    x = 11,710.61

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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.