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Finding the Fourth Proportional to 12,677.58, 17,496.12 and 8,421.12

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Solution

The fourth proportional to 12,677.58, 17,496.12 and 8,421.12 is: 11,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.58 : 17,496.12 = 8,421.12 : x
  2. Step 2: Convert to fraction form
    12,677.58/17,496.12 = 8,421.12/x
  3. Step 3: Cross multiply
    12,677.58x = 17,496.12 × 8,421.12
  4. Step 4: Simplify right side
    12,677.58x = 147,336,926.05
  5. Step 5: Solve for x
    x = 147,336,926.05/12,677.58
  6. Step 6: Final answer
    x = 11,621.85

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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.