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Finding the Fourth Proportional to 23,484.35, 32,410.44 and 12,876

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Solution

The fourth proportional to 23,484.35, 32,410.44 and 12,876 is: 17,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.35 : 32,410.44 = 12,876 : x
  2. Step 2: Convert to fraction form
    23,484.35/32,410.44 = 12,876/x
  3. Step 3: Cross multiply
    23,484.35x = 32,410.44 × 12,876
  4. Step 4: Simplify right side
    23,484.35x = 417,316,825.44
  5. Step 5: Solve for x
    x = 417,316,825.44/23,484.35
  6. Step 6: Final answer
    x = 17,770.00

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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.