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Finding the Fourth Proportional to 13,578.24, 20,364 and 5,786.24

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Solution

The fourth proportional to 13,578.24, 20,364 and 5,786.24 is: 8,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.24 : 20,364 = 5,786.24 : x
  2. Step 2: Convert to fraction form
    13,578.24/20,364 = 5,786.24/x
  3. Step 3: Cross multiply
    13,578.24x = 20,364 × 5,786.24
  4. Step 4: Simplify right side
    13,578.24x = 117,830,991.36
  5. Step 5: Solve for x
    x = 117,830,991.36/13,578.24
  6. Step 6: Final answer
    x = 8,677.93

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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.