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Finding the Fourth Proportional to 13,605.34, 20,415.79 and 5,284.28

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Solution

The fourth proportional to 13,605.34, 20,415.79 and 5,284.28 is: 7,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.34 : 20,415.79 = 5,284.28 : x
  2. Step 2: Convert to fraction form
    13,605.34/20,415.79 = 5,284.28/x
  3. Step 3: Cross multiply
    13,605.34x = 20,415.79 × 5,284.28
  4. Step 4: Simplify right side
    13,605.34x = 107,882,661.16
  5. Step 5: Solve for x
    x = 107,882,661.16/13,605.34
  6. Step 6: Final answer
    x = 7,929.44

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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.