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Finding the Fourth Proportional to 20,638.64, 30,953.28 and 5,844.16

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Solution

The fourth proportional to 20,638.64, 30,953.28 and 5,844.16 is: 8,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.64 : 30,953.28 = 5,844.16 : x
  2. Step 2: Convert to fraction form
    20,638.64/30,953.28 = 5,844.16/x
  3. Step 3: Cross multiply
    20,638.64x = 30,953.28 × 5,844.16
  4. Step 4: Simplify right side
    20,638.64x = 180,895,920.84
  5. Step 5: Solve for x
    x = 180,895,920.84/20,638.64
  6. Step 6: Final answer
    x = 8,764.91

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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.