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Finding the Fourth Proportional to 23,514.94, 35,260.83 and 11,655.10

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Solution

The fourth proportional to 23,514.94, 35,260.83 and 11,655.10 is: 17,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.94 : 35,260.83 = 11,655.10 : x
  2. Step 2: Convert to fraction form
    23,514.94/35,260.83 = 11,655.10/x
  3. Step 3: Cross multiply
    23,514.94x = 35,260.83 × 11,655.10
  4. Step 4: Simplify right side
    23,514.94x = 410,968,499.73
  5. Step 5: Solve for x
    x = 410,968,499.73/23,514.94
  6. Step 6: Final answer
    x = 17,476.91

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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.