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Finding the Fourth Proportional to 12,191.50, 16,824.99 and 6,886.18

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Solution

The fourth proportional to 12,191.50, 16,824.99 and 6,886.18 is: 9,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.50 : 16,824.99 = 6,886.18 : x
  2. Step 2: Convert to fraction form
    12,191.50/16,824.99 = 6,886.18/x
  3. Step 3: Cross multiply
    12,191.50x = 16,824.99 × 6,886.18
  4. Step 4: Simplify right side
    12,191.50x = 115,859,909.64
  5. Step 5: Solve for x
    x = 115,859,909.64/12,191.50
  6. Step 6: Final answer
    x = 9,503.34

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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.