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Finding the Fourth Proportional to 23,491.60, 32,419.44 and 12,882

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Solution

The fourth proportional to 23,491.60, 32,419.44 and 12,882 is: 17,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.60 : 32,419.44 = 12,882 : x
  2. Step 2: Convert to fraction form
    23,491.60/32,419.44 = 12,882/x
  3. Step 3: Cross multiply
    23,491.60x = 32,419.44 × 12,882
  4. Step 4: Simplify right side
    23,491.60x = 417,627,226.08
  5. Step 5: Solve for x
    x = 417,627,226.08/23,491.60
  6. Step 6: Final answer
    x = 17,777.73

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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.