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Finding the Fourth Proportional to 17,241.20, 25,827.60 and 13,526

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Solution

The fourth proportional to 17,241.20, 25,827.60 and 13,526 is: 20,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241.20 : 25,827.60 = 13,526 : x
  2. Step 2: Convert to fraction form
    17,241.20/25,827.60 = 13,526/x
  3. Step 3: Cross multiply
    17,241.20x = 25,827.60 × 13,526
  4. Step 4: Simplify right side
    17,241.20x = 349,344,117.60
  5. Step 5: Solve for x
    x = 349,344,117.60/17,241.20
  6. Step 6: Final answer
    x = 20,262.17

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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.