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Finding the Fourth Proportional to 23,827.59, 35,738.88 and 9,789.09

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Solution

The fourth proportional to 23,827.59, 35,738.88 and 9,789.09 is: 14,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.59 : 35,738.88 = 9,789.09 : x
  2. Step 2: Convert to fraction form
    23,827.59/35,738.88 = 9,789.09/x
  3. Step 3: Cross multiply
    23,827.59x = 35,738.88 × 9,789.09
  4. Step 4: Simplify right side
    23,827.59x = 349,851,112.82
  5. Step 5: Solve for x
    x = 349,851,112.82/23,827.59
  6. Step 6: Final answer
    x = 14,682.61

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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.