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Finding the Fourth Proportional to 23,494.45, 32,422.17 and 12,883.90

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Solution

The fourth proportional to 23,494.45, 32,422.17 and 12,883.90 is: 17,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.45 : 32,422.17 = 12,883.90 : x
  2. Step 2: Convert to fraction form
    23,494.45/32,422.17 = 12,883.90/x
  3. Step 3: Cross multiply
    23,494.45x = 32,422.17 × 12,883.90
  4. Step 4: Simplify right side
    23,494.45x = 417,723,996.06
  5. Step 5: Solve for x
    x = 417,723,996.06/23,494.45
  6. Step 6: Final answer
    x = 17,779.69

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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.