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Finding the Fourth Proportional to 20,782.88, 28,681.12 and 11,351.84

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Solution

The fourth proportional to 20,782.88, 28,681.12 and 11,351.84 is: 15,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.88 : 28,681.12 = 11,351.84 : x
  2. Step 2: Convert to fraction form
    20,782.88/28,681.12 = 11,351.84/x
  3. Step 3: Cross multiply
    20,782.88x = 28,681.12 × 11,351.84
  4. Step 4: Simplify right side
    20,782.88x = 325,583,485.26
  5. Step 5: Solve for x
    x = 325,583,485.26/20,782.88
  6. Step 6: Final answer
    x = 15,665.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.