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Finding the Fourth Proportional to 20,563.51, 30,842.95 and 5,773

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Solution

The fourth proportional to 20,563.51, 30,842.95 and 5,773 is: 8,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.51 : 30,842.95 = 5,773 : x
  2. Step 2: Convert to fraction form
    20,563.51/30,842.95 = 5,773/x
  3. Step 3: Cross multiply
    20,563.51x = 30,842.95 × 5,773
  4. Step 4: Simplify right side
    20,563.51x = 178,056,350.35
  5. Step 5: Solve for x
    x = 178,056,350.35/20,563.51
  6. Step 6: Final answer
    x = 8,658.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.