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Finding the Fourth Proportional to 13,674.53, 20,497.45 and 7,744.01

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Solution

The fourth proportional to 13,674.53, 20,497.45 and 7,744.01 is: 11,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.53 : 20,497.45 = 7,744.01 : x
  2. Step 2: Convert to fraction form
    13,674.53/20,497.45 = 7,744.01/x
  3. Step 3: Cross multiply
    13,674.53x = 20,497.45 × 7,744.01
  4. Step 4: Simplify right side
    13,674.53x = 158,732,457.77
  5. Step 5: Solve for x
    x = 158,732,457.77/13,674.53
  6. Step 6: Final answer
    x = 11,607.89

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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.