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Finding the Fourth Proportional to 23,494.50, 32,419.43 and 12,881.34

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Solution

The fourth proportional to 23,494.50, 32,419.43 and 12,881.34 is: 17,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.50 : 32,419.43 = 12,881.34 : x
  2. Step 2: Convert to fraction form
    23,494.50/32,419.43 = 12,881.34/x
  3. Step 3: Cross multiply
    23,494.50x = 32,419.43 × 12,881.34
  4. Step 4: Simplify right side
    23,494.50x = 417,605,700.44
  5. Step 5: Solve for x
    x = 417,605,700.44/23,494.50
  6. Step 6: Final answer
    x = 17,774.62

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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.