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Finding the Fourth Proportional to 23,494.64, 32,422.74 and 12,884.30

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Solution

The fourth proportional to 23,494.64, 32,422.74 and 12,884.30 is: 17,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.64 : 32,422.74 = 12,884.30 : x
  2. Step 2: Convert to fraction form
    23,494.64/32,422.74 = 12,884.30/x
  3. Step 3: Cross multiply
    23,494.64x = 32,422.74 × 12,884.30
  4. Step 4: Simplify right side
    23,494.64x = 417,744,308.98
  5. Step 5: Solve for x
    x = 417,744,308.98/23,494.64
  6. Step 6: Final answer
    x = 17,780.41

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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.