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Finding the Fourth Proportional to 23,458.64, 32,373.34 and 12,847.59

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Solution

The fourth proportional to 23,458.64, 32,373.34 and 12,847.59 is: 17,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.64 : 32,373.34 = 12,847.59 : x
  2. Step 2: Convert to fraction form
    23,458.64/32,373.34 = 12,847.59/x
  3. Step 3: Cross multiply
    23,458.64x = 32,373.34 × 12,847.59
  4. Step 4: Simplify right side
    23,458.64x = 415,919,205.26
  5. Step 5: Solve for x
    x = 415,919,205.26/23,458.64
  6. Step 6: Final answer
    x = 17,729.90

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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.