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Finding the Fourth Proportional to 12,765.21, 17,597.51 and 8,451.07

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Solution

The fourth proportional to 12,765.21, 17,597.51 and 8,451.07 is: 11,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.21 : 17,597.51 = 8,451.07 : x
  2. Step 2: Convert to fraction form
    12,765.21/17,597.51 = 8,451.07/x
  3. Step 3: Cross multiply
    12,765.21x = 17,597.51 × 8,451.07
  4. Step 4: Simplify right side
    12,765.21x = 148,717,788.84
  5. Step 5: Solve for x
    x = 148,717,788.84/12,765.21
  6. Step 6: Final answer
    x = 11,650.24

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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.