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Finding the Fourth Proportional to 23,834.52, 32,893.29 and 13,225.14

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Solution

The fourth proportional to 23,834.52, 32,893.29 and 13,225.14 is: 18,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.52 : 32,893.29 = 13,225.14 : x
  2. Step 2: Convert to fraction form
    23,834.52/32,893.29 = 13,225.14/x
  3. Step 3: Cross multiply
    23,834.52x = 32,893.29 × 13,225.14
  4. Step 4: Simplify right side
    23,834.52x = 435,018,365.31
  5. Step 5: Solve for x
    x = 435,018,365.31/23,834.52
  6. Step 6: Final answer
    x = 18,251.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.