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Finding the Fourth Proportional to 23,801.94, 35,691.21 and 9,758.16

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Solution

The fourth proportional to 23,801.94, 35,691.21 and 9,758.16 is: 14,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.94 : 35,691.21 = 9,758.16 : x
  2. Step 2: Convert to fraction form
    23,801.94/35,691.21 = 9,758.16/x
  3. Step 3: Cross multiply
    23,801.94x = 35,691.21 × 9,758.16
  4. Step 4: Simplify right side
    23,801.94x = 348,280,537.77
  5. Step 5: Solve for x
    x = 348,280,537.77/23,801.94
  6. Step 6: Final answer
    x = 14,632.44

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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.