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Finding the Fourth Proportional to 23,410.32, 32,307.44 and 12,799.84

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Solution

The fourth proportional to 23,410.32, 32,307.44 and 12,799.84 is: 17,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.32 : 32,307.44 = 12,799.84 : x
  2. Step 2: Convert to fraction form
    23,410.32/32,307.44 = 12,799.84/x
  3. Step 3: Cross multiply
    23,410.32x = 32,307.44 × 12,799.84
  4. Step 4: Simplify right side
    23,410.32x = 413,530,062.81
  5. Step 5: Solve for x
    x = 413,530,062.81/23,410.32
  6. Step 6: Final answer
    x = 17,664.43

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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.