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Finding the Fourth Proportional to 23,447.60, 32,357.79 and 12,838.22

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Solution

The fourth proportional to 23,447.60, 32,357.79 and 12,838.22 is: 17,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.60 : 32,357.79 = 12,838.22 : x
  2. Step 2: Convert to fraction form
    23,447.60/32,357.79 = 12,838.22/x
  3. Step 3: Cross multiply
    23,447.60x = 32,357.79 × 12,838.22
  4. Step 4: Simplify right side
    23,447.60x = 415,416,507.63
  5. Step 5: Solve for x
    x = 415,416,507.63/23,447.60
  6. Step 6: Final answer
    x = 17,716.80

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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.