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Finding the Fourth Proportional to 23,448.27, 32,357.37 and 12,835.86

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Solution

The fourth proportional to 23,448.27, 32,357.37 and 12,835.86 is: 17,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.27 : 32,357.37 = 12,835.86 : x
  2. Step 2: Convert to fraction form
    23,448.27/32,357.37 = 12,835.86/x
  3. Step 3: Cross multiply
    23,448.27x = 32,357.37 × 12,835.86
  4. Step 4: Simplify right side
    23,448.27x = 415,334,671.29
  5. Step 5: Solve for x
    x = 415,334,671.29/23,448.27
  6. Step 6: Final answer
    x = 17,712.81

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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.