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Finding the Fourth Proportional to 20,853.66, 28,777.98 and 11,422.20

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Solution

The fourth proportional to 20,853.66, 28,777.98 and 11,422.20 is: 15,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.66 : 28,777.98 = 11,422.20 : x
  2. Step 2: Convert to fraction form
    20,853.66/28,777.98 = 11,422.20/x
  3. Step 3: Cross multiply
    20,853.66x = 28,777.98 × 11,422.20
  4. Step 4: Simplify right side
    20,853.66x = 328,707,843.16
  5. Step 5: Solve for x
    x = 328,707,843.16/20,853.66
  6. Step 6: Final answer
    x = 15,762.60

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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.