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Finding the Fourth Proportional to 12,765.96, 17,598.55 and 8,451.82

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Solution

The fourth proportional to 12,765.96, 17,598.55 and 8,451.82 is: 11,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.96 : 17,598.55 = 8,451.82 : x
  2. Step 2: Convert to fraction form
    12,765.96/17,598.55 = 8,451.82/x
  3. Step 3: Cross multiply
    12,765.96x = 17,598.55 × 8,451.82
  4. Step 4: Simplify right side
    12,765.96x = 148,739,776.86
  5. Step 5: Solve for x
    x = 148,739,776.86/12,765.96
  6. Step 6: Final answer
    x = 11,651.28

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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.