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Finding the Fourth Proportional to 12,775.86, 17,638.02 and 8,532.81

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Solution

The fourth proportional to 12,775.86, 17,638.02 and 8,532.81 is: 11,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.86 : 17,638.02 = 8,532.81 : x
  2. Step 2: Convert to fraction form
    12,775.86/17,638.02 = 8,532.81/x
  3. Step 3: Cross multiply
    12,775.86x = 17,638.02 × 8,532.81
  4. Step 4: Simplify right side
    12,775.86x = 150,501,873.44
  5. Step 5: Solve for x
    x = 150,501,873.44/12,775.86
  6. Step 6: Final answer
    x = 11,780.18

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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.