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Finding the Fourth Proportional to 23,823.84, 35,733.22 and 9,785.32

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Solution

The fourth proportional to 23,823.84, 35,733.22 and 9,785.32 is: 14,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.84 : 35,733.22 = 9,785.32 : x
  2. Step 2: Convert to fraction form
    23,823.84/35,733.22 = 9,785.32/x
  3. Step 3: Cross multiply
    23,823.84x = 35,733.22 × 9,785.32
  4. Step 4: Simplify right side
    23,823.84x = 349,660,992.33
  5. Step 5: Solve for x
    x = 349,660,992.33/23,823.84
  6. Step 6: Final answer
    x = 14,676.94

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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.