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Finding the Fourth Proportional to 20,455.89, 30,684.18 and 6,415.58

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Solution

The fourth proportional to 20,455.89, 30,684.18 and 6,415.58 is: 9,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.89 : 30,684.18 = 6,415.58 : x
  2. Step 2: Convert to fraction form
    20,455.89/30,684.18 = 6,415.58/x
  3. Step 3: Cross multiply
    20,455.89x = 30,684.18 × 6,415.58
  4. Step 4: Simplify right side
    20,455.89x = 196,856,798.93
  5. Step 5: Solve for x
    x = 196,856,798.93/20,455.89
  6. Step 6: Final answer
    x = 9,623.48

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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.