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Finding the Fourth Proportional to 12,864.76, 17,756.34 and 8,380.70

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Solution

The fourth proportional to 12,864.76, 17,756.34 and 8,380.70 is: 11,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.76 : 17,756.34 = 8,380.70 : x
  2. Step 2: Convert to fraction form
    12,864.76/17,756.34 = 8,380.70/x
  3. Step 3: Cross multiply
    12,864.76x = 17,756.34 × 8,380.70
  4. Step 4: Simplify right side
    12,864.76x = 148,810,558.64
  5. Step 5: Solve for x
    x = 148,810,558.64/12,864.76
  6. Step 6: Final answer
    x = 11,567.30

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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.