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Finding the Fourth Proportional to 12,194.96, 16,829.16 and 6,606

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Solution

The fourth proportional to 12,194.96, 16,829.16 and 6,606 is: 9,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.96 : 16,829.16 = 6,606 : x
  2. Step 2: Convert to fraction form
    12,194.96/16,829.16 = 6,606/x
  3. Step 3: Cross multiply
    12,194.96x = 16,829.16 × 6,606
  4. Step 4: Simplify right side
    12,194.96x = 111,173,430.96
  5. Step 5: Solve for x
    x = 111,173,430.96/12,194.96
  6. Step 6: Final answer
    x = 9,116.34

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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.