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Finding the Fourth Proportional to 17,208.96, 25,814.40 and 4,896

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Solution

The fourth proportional to 17,208.96, 25,814.40 and 4,896 is: 7,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,208.96 : 25,814.40 = 4,896 : x
  2. Step 2: Convert to fraction form
    17,208.96/25,814.40 = 4,896/x
  3. Step 3: Cross multiply
    17,208.96x = 25,814.40 × 4,896
  4. Step 4: Simplify right side
    17,208.96x = 126,387,302.40
  5. Step 5: Solve for x
    x = 126,387,302.40/17,208.96
  6. Step 6: Final answer
    x = 7,344.27

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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.