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Finding the Fourth Proportional to 12,980.58, 17,914.86 and 8,508.12

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Solution

The fourth proportional to 12,980.58, 17,914.86 and 8,508.12 is: 11,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.58 : 17,914.86 = 8,508.12 : x
  2. Step 2: Convert to fraction form
    12,980.58/17,914.86 = 8,508.12/x
  3. Step 3: Cross multiply
    12,980.58x = 17,914.86 × 8,508.12
  4. Step 4: Simplify right side
    12,980.58x = 152,421,778.66
  5. Step 5: Solve for x
    x = 152,421,778.66/12,980.58
  6. Step 6: Final answer
    x = 11,742.29

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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.