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Finding the Fourth Proportional to 13,522.40, 20,262.69 and 10,553.81

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Solution

The fourth proportional to 13,522.40, 20,262.69 and 10,553.81 is: 15,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.40 : 20,262.69 = 10,553.81 : x
  2. Step 2: Convert to fraction form
    13,522.40/20,262.69 = 10,553.81/x
  3. Step 3: Cross multiply
    13,522.40x = 20,262.69 × 10,553.81
  4. Step 4: Simplify right side
    13,522.40x = 213,848,580.35
  5. Step 5: Solve for x
    x = 213,848,580.35/13,522.40
  6. Step 6: Final answer
    x = 15,814.40

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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.