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Finding the Fourth Proportional to 20,344.16, 28,077.64 and 11,392.25

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Solution

The fourth proportional to 20,344.16, 28,077.64 and 11,392.25 is: 15,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.16 : 28,077.64 = 11,392.25 : x
  2. Step 2: Convert to fraction form
    20,344.16/28,077.64 = 11,392.25/x
  3. Step 3: Cross multiply
    20,344.16x = 28,077.64 × 11,392.25
  4. Step 4: Simplify right side
    20,344.16x = 319,867,325.42
  5. Step 5: Solve for x
    x = 319,867,325.42/20,344.16
  6. Step 6: Final answer
    x = 15,722.81

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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.