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Finding the Fourth Proportional to 12,191.16, 16,823.82 and 6,602.16

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Solution

The fourth proportional to 12,191.16, 16,823.82 and 6,602.16 is: 9,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.16 : 16,823.82 = 6,602.16 : x
  2. Step 2: Convert to fraction form
    12,191.16/16,823.82 = 6,602.16/x
  3. Step 3: Cross multiply
    12,191.16x = 16,823.82 × 6,602.16
  4. Step 4: Simplify right side
    12,191.16x = 111,073,551.45
  5. Step 5: Solve for x
    x = 111,073,551.45/12,191.16
  6. Step 6: Final answer
    x = 9,110.99

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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.