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Finding the Fourth Proportional to 12,534.96, 18,805.68 and 6,690

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Solution

The fourth proportional to 12,534.96, 18,805.68 and 6,690 is: 10,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.96 : 18,805.68 = 6,690 : x
  2. Step 2: Convert to fraction form
    12,534.96/18,805.68 = 6,690/x
  3. Step 3: Cross multiply
    12,534.96x = 18,805.68 × 6,690
  4. Step 4: Simplify right side
    12,534.96x = 125,809,999.20
  5. Step 5: Solve for x
    x = 125,809,999.20/12,534.96
  6. Step 6: Final answer
    x = 10,036.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.