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Finding the Fourth Proportional to 23,287.88, 34,935.46 and 7,709.15

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Solution

The fourth proportional to 23,287.88, 34,935.46 and 7,709.15 is: 11,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.88 : 34,935.46 = 7,709.15 : x
  2. Step 2: Convert to fraction form
    23,287.88/34,935.46 = 7,709.15/x
  3. Step 3: Cross multiply
    23,287.88x = 34,935.46 × 7,709.15
  4. Step 4: Simplify right side
    23,287.88x = 269,322,507.51
  5. Step 5: Solve for x
    x = 269,322,507.51/23,287.88
  6. Step 6: Final answer
    x = 11,564.92

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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.