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Finding the Fourth Proportional to 12,684.06, 17,492.31 and 8,698.14

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Solution

The fourth proportional to 12,684.06, 17,492.31 and 8,698.14 is: 11,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.06 : 17,492.31 = 8,698.14 : x
  2. Step 2: Convert to fraction form
    12,684.06/17,492.31 = 8,698.14/x
  3. Step 3: Cross multiply
    12,684.06x = 17,492.31 × 8,698.14
  4. Step 4: Simplify right side
    12,684.06x = 152,150,561.30
  5. Step 5: Solve for x
    x = 152,150,561.30/12,684.06
  6. Step 6: Final answer
    x = 11,995.41

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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.