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Finding the Fourth Proportional to 12,531, 18,790.80 and 5,965.12

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Solution

The fourth proportional to 12,531, 18,790.80 and 5,965.12 is: 8,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531 : 18,790.80 = 5,965.12 : x
  2. Step 2: Convert to fraction form
    12,531/18,790.80 = 5,965.12/x
  3. Step 3: Cross multiply
    12,531x = 18,790.80 × 5,965.12
  4. Step 4: Simplify right side
    12,531x = 112,089,376.90
  5. Step 5: Solve for x
    x = 112,089,376.90/12,531
  6. Step 6: Final answer
    x = 8,944.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.