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Finding the Fourth Proportional to 23,865.09, 35,801.70 and 9,832.71

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Solution

The fourth proportional to 23,865.09, 35,801.70 and 9,832.71 is: 14,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865.09 : 35,801.70 = 9,832.71 : x
  2. Step 2: Convert to fraction form
    23,865.09/35,801.70 = 9,832.71/x
  3. Step 3: Cross multiply
    23,865.09x = 35,801.70 × 9,832.71
  4. Step 4: Simplify right side
    23,865.09x = 352,027,733.61
  5. Step 5: Solve for x
    x = 352,027,733.61/23,865.09
  6. Step 6: Final answer
    x = 14,750.74

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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.