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Finding the Fourth Proportional to 20,276.88, 30,415.22 and 5,485.74

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Solution

The fourth proportional to 20,276.88, 30,415.22 and 5,485.74 is: 8,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.88 : 30,415.22 = 5,485.74 : x
  2. Step 2: Convert to fraction form
    20,276.88/30,415.22 = 5,485.74/x
  3. Step 3: Cross multiply
    20,276.88x = 30,415.22 × 5,485.74
  4. Step 4: Simplify right side
    20,276.88x = 166,849,988.96
  5. Step 5: Solve for x
    x = 166,849,988.96/20,276.88
  6. Step 6: Final answer
    x = 8,228.58

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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.