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Finding the Fourth Proportional to 13,690.06, 20,535.09 and 7,842.58

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Solution

The fourth proportional to 13,690.06, 20,535.09 and 7,842.58 is: 11,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.06 : 20,535.09 = 7,842.58 : x
  2. Step 2: Convert to fraction form
    13,690.06/20,535.09 = 7,842.58/x
  3. Step 3: Cross multiply
    13,690.06x = 20,535.09 × 7,842.58
  4. Step 4: Simplify right side
    13,690.06x = 161,048,086.13
  5. Step 5: Solve for x
    x = 161,048,086.13/13,690.06
  6. Step 6: Final answer
    x = 11,763.87

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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.