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Finding the Fourth Proportional to 20,853.84, 28,777.20 and 11,422.20

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Solution

The fourth proportional to 20,853.84, 28,777.20 and 11,422.20 is: 15,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.84 : 28,777.20 = 11,422.20 : x
  2. Step 2: Convert to fraction form
    20,853.84/28,777.20 = 11,422.20/x
  3. Step 3: Cross multiply
    20,853.84x = 28,777.20 × 11,422.20
  4. Step 4: Simplify right side
    20,853.84x = 328,698,933.84
  5. Step 5: Solve for x
    x = 328,698,933.84/20,853.84
  6. Step 6: Final answer
    x = 15,762.03

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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.